Two numbers are in the ratio 3 : 5. If 10 is added to each number, then the ratio becomes 5 : 7. Find the numbers.

15, 25

Let two numbers are a and b

a : b = 3 : 5

ATQ,

\(\frac{3a + 10 }{ 5a + 10 }\) = \(\frac{5 }{ 7 }\)

21a + 70 = 25a + 50

4a = 20

1a = 5

Two numbers are :- a = 3R = 3 × 5 = 15 & b = 5 × 5 = 25

The correct answer is Option (3) → 15, 25