Two numbers are in the ratio 3 : 5. If 10 is added to each number, then the ratio becomes 5 : 7. Find the numbers.
Answer & explanation
Correct answer: option 3
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