Question

Two numbers are such that the ratio between them is 3:5. If each is increased by 10, the
ratio between the new numbers so formed is 5:7. Find the original number
.​

Answer 1

Given :

• Two numbers are such that the ratio between them is 3:5.

• Each is increased by 10.

• The ratio between the new numbers so formed is 5:7.

To find :

• The original number =?

Step-by-step explanation :

Let, two numbers are such that the ratio between them be 3x and 5x.

After increasing 10 in 3x = 3x + 10

After increasing 10 in 5x = 5x + 10

According to the question :

➮ (3x + 10)/(5x + 10) = 5/7

➮ 7(3x + 10) = 5(5x + 10)

➮ 21x + 70 = 25x + 50

➮ 21x - 25x = 50 - 70

➮ -4x = - 20

➮ x = - 20/-4

➮ x = 5.

So, We got the value of, x = 5

Hence,

3x = 3 × 5 = 15

5x = 5 × 5 = 25

Therefore, the original number = 15 and 25.