Question

The ratio between two numbers is 3:5 and their sum is 40. Find the larger of two numbers.

Answer 1

Hi ,

let one number = x

second number = 40 - x

according to the problem given,

ratio of to numbers = 3 : 5

x : ( 40 - x ) = 3 : 5

product of extrems = product of means

x × 5 = ( 40 - x ) 3

5x = 120 - 3x

5x + 3x = 120

8x = 120

x = 120 / 8

x = 15

Therefore ,

first number = x = 15

second number = 40 - x = 40 - 15 = 25

Therefore ,

larger number = 25

I hope this helps you.

:)

Answer 2

Let the numbers be 3x & 5x.
A/q,
3x+5x=40
8x=40
x=40/8=5
So the numbers r =>3x=3×5=15 and
5x=5×5=25.
Hope it hlps.