Question

Two numbers are in the ratio 5 : 7 and the sum of these numbers is 252. The larger of these numbers is

Options

• 85

• 119

• 105

• 147

Answer 1

147
Ratio = 5 : 7
Let x be any number such that we have:
5x + 7x = 252
⇒ 12x = 252

⇒ x = `252/12` = 21

Now, 5x = 5 × 21= 105
7x = 7 × 21 = 147

The largest number is 147.