Question

Two numbers are in the ratio 5 : 7 and the sum of these numbers is 252. The larger of these numbers is
(a) 85
(b) 119
(c) 105
(d) 147

Answer 1

(d) 147
Ratio = 5:7
Let x be any number such that we have:
5x + 7x = 252
⇒ 12x = 252
⇒ x = 252 = 21
12
Now, 5x = 5 × 21= 105
7x = 7 × 21 = 147

The largest number is 147.