Correct Answer - Option 1 : 24 ∶ 30 ∶ 35
Given
a ∶ b = 4 ∶ 5
b ∶ c = 6 ∶ 7
Calculation
Writing the ratios in fraction form we get,
a/b = 4/5 ____(1)
and b/c = 6/7 _____(2)
On multiplying equation (1) and (2) we get,
(a × b)/(b × c) = (4 × 6)/(5 × 7)
⇒ a/c = 24/35 _____(3)
∴ When a = 24, c = 35
To make a = 24 in equation (1), multiply numerator and denominator by 6
a/b = 24/30 _____(4)
From equation (3) and (4),
When a = 24, b = 30 and c = 35
∴ a : b : c = 24 : 30 : 35