Question

Two numbers are in the ratio 3 : 5 and their sum is 96. The larger number is

Options

• 36

• 42

• 60

• 70

Answer 1

60
Ratio = 3:5
Let x be any number such that we have:
3x + 5x = 96
 ⇒ 8x = 96

 ⇒ x = `96/8` = 12

The numbers are:
3x = 3 ​× 12 = 36
5x = 5 ​× 12 = 60
The largest number = 60