Question

Two numbers are in the ratio 3:7 and their difference is 36. Find the number. I need the explanation from a maths genius.​

Answer 1

Given

• Two numbers are in the ratio 3:7

• Their difference = 36.

To Find

The numbers

Solutions

Let the number be 3x and 7x respectively, where x is a postive constant .

Hence, their difference = 7x - 3x = 4x

Given, 4x = 36.

$\implies \: x\:= \dfrac{\cancel{36}}{4} \\ \\ \\ \implies \: x\:=\:9$

Hence,

• the numbers are 3x = 3 × 9 = 27 and 7x = 7 × 9 = 63.

Thus, the numbers are 27 and 63.

Answer 2

$\huge\mathfrak\green{Answer:}$

Given:

• We have been given the ratio of two numbers as 3 : 7.
• The difference of these numbers is 36.

To Find:

• We need to find the numbers.

Solution:

We have been given the ratio of numbers as 3 : 7 and their difference is 36.

Let the numbers be 3x and 7x.

Therefore, by question we have

3x - 7x = 36

=> -4x = 36

=> x = 36/(-4)

=> x = -9

Therefore, 3x = 3 × (-9) = -27

7x = 7 × (-9) = -63

Verification:

-27 - (-63)

= -27 + 63

= 36

Hence verified!!

Hence the numbers are (-27) and (-63).