Question

(13)Two numbers are in the ratio 2:3.If 5 is added to both the numbers, the ratio becomes 3:2.

Find the numbers.​

Answer 1

Answer:

20,30

Step-by-step explanation:

The numbers are in the ratio 2:3.

Let the common ratio be x.

Therefore the numbers are 2x and 3x.

If 5 is added to both the numbers the ratio become 5:7.

Therefore, (2x + 5):(3x + 5)= 5 : 7

Therefore, 14x + 35 = 15x + 25

Therefore, x = 10

Thus, the numbers are 2x = 2 × 10 = 20 and 3x = 3 × 10 = 30.