What same number should be added to each of the numbers 2 7 10 25 so that they may be in proportion

No worries! We‘ve got your back. Try BYJU‘S free classes today!

No worries! We‘ve got your back. Try BYJU‘S free classes today!

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

What same number should be added to each of the numbers 2 7 10 25 so that they may be in proportion

Get the answers to your homework problems.

Try Numerade free for 7 days

Your browser does not support the video tag.

Jeffrey B.

Algebra

6 months, 1 week ago

We don’t have your requested question, but here is a suggested video that might help.

Write a proportion for each statement. The numbers 2 and 3 are proportional to the numbers 4 and 6

Free

General Intelligence Practice Set (Matriculation Level)

25 Questions 50 Marks 17 Mins

Let number be x

Then, according to the question,

(55 + x) : (100 + x) = (65 + x) : (116 + x)

⇒ (55 + x) × (116 + x) = (65 + x) × (100 + x)

⇒ 6380 + 171x + x2 = 6500 + 165x + x2

⇒ 6x = 120

⇒ x = 20

∴ 20 should be added to the numbers so that they are in continued proportion.

Latest SSC Selection Post Updates

Last updated on Sep 22, 2022

The Staff Selection Commission has released the additional result for the SSC Selection Post Exam. This is in reference to Phase VIII/2020 Selection Post Exam. These candidates have cleared the written exam and are now eligible for the next stage which is document verification. As of now, the recruitment cycle for Phase X/2022 (2065 vacancies) and Ladakh/2022 (797 vacancies) are ongoing. Recently, the SSC released the provisional answer key for both these cycles as the written exam was conducted from 1st to 5th August 2022. Check out the SSC Selection Post answer key details here.

Ace your Ratio and Proportion preparations for Fourth Proportional with us and master Quantitative Aptitude for your exams. Learn today!

Given:

The numbers 104, 34, 110 and 36

Concept used:

If a, b, c and d are four numbers and they are in continued proportion

Then a ∶ b ∶∶ c ∶ d 

⇒ ad = cb 

⇒ a/b = c/d

Calculation

Let the number x added

Now, according to question,

(104 + x) ∶ (34 + x) ∶∶ (110 + x) ∶ (36 + x)

⇒ (104 + x) × (36 + x) = (110 + x) × (34 + x) 

⇒ 3744 + 36x + 104x + x2 = 3740 + 34x + 110x + x2

⇒ 3744 + 140x = 3740 + 144x

⇒ 4x = 4

Then x = 1

∴ The required number is 1.

Alternate Method

Calculations:

Let the number x added

Now, according to question,

(104 + x) ∶ (34 + x) ∶∶ (110 + x) ∶ (36 + x)

⇒ (104 + x)/(34 + x) = (110 + x)/(36 + x)

Let’s check options one by one,

For 1 option,

After adding 9 to each number, numbers will be 113, 43, 119 and 45

For them to be in continued proportion this ratio must be equal

⇒ 113/43 ≠ 119/45

Hence option 1 is not correct

For 2 option,

After adding 3 to each number, numbers will be 107, 37, 113 and 39

For them to be in continued proportion this ratio must be equal

⇒ 107/37 ≠ 113/39

Hence option 2 is not correct

For 3 option,

After adding 1 to each number, numbers will be 105, 35, 111 and 37

For them to be in continued proportion this ratio must be equal

⇒ 105/35 = 111/37 = 3

Hence option 3 is correct

For 4 option,

After adding 4 to each number, numbers will be 108, 38, 114 and 40

For them to be in continued proportion this ratio must be equal

⇒ 108/38 ≠ 114/40

Hence option 4 is not correct

∴ The correct answer is option 3.

Let's discuss the concepts related to Ratio and Proportion and Mean Proportional. Explore more from Quantitative Aptitude here. Learn now!

What same number should be added to each of the numbers 2 7 10 25 so that they may be in proportion

Get the answer to your homework problem.

Try Numerade free for 7 days

Jeffrey B.

Algebra

6 months, 3 weeks ago

We don’t have your requested question, but here is a suggested video that might help.

Write a proportion for each statement. The numbers 2 and 3 are proportional to the numbers 4 and 6

What same number should be added to each of the numbers 2 7 10 25 so that they may be in proportion

Discussion

You must be signed in to discuss.

Video Transcript

we're going to write a proportion saying that the numbers two and three, some numbers two and three we're gonna divide to buy three. Just a separate numbers must be equal to is proportionate to the numbers four and six. A proportional means we're going to set two quantities equal to each other. So equals runs through the same thing for four n six for over six, just two applies to four and three applies to six X. So this is our before she 2/3 equals for over six.

Get More Help with this Textbook

What same number should be added to each of the numbers 2 7 10 25 so that they may be in proportion

Top Algebra Educators

What number should be added to each of 7/16 10 and 22 so that the resulting numbers will be in proportion?

Expert-verified answer Step-by-step explanation: We are given to find the number that should be added to each of 7, 17, 22 and 47 so that the resulting numbers will be in proportion in the given order. Let x be the required to be added. Thus, the required number to be added is 3.

What should be added so that the numbers are in proportion?

In this question four proportional numbers are given so first we will add a common unknown number to them and then we will use means and extremes property to find the unknown number. Hence we can say if we add 3 to the numbers 12, 22, 42 and 72 the resulting numbers will be in proportion.

What number must be added to each of the numbers 25 35 40 55 so that the new number are in proportion?

x=5. Was this answer helpful?

What number must be added to each of the numbers 25/33 46 & 60 so that the numbers are in proportion?

Hence, the number that must be added to the numbers 25,33,46,60 to make the number proportional is 3.