Question

Two numbers are in a ratio of 3:11. When their sum is decreased by five the result is 135. Find the numbers.

Answer 1

The numbers are 30 and 110

Explanation:

Let

x ----> the first number

y ----> the second number

we know that

`(x)/(y)=(3)/(11)`

`x=(3)/(11)y` -----> equation A

`(x+y)-5=135` ----> equation B

substitute equation A in equation B and solve for y

`((3)/(11)y+y)-5=135`

`(14)/(11)y=135+5`

`(14)/(11)y=140`

`y=140(11)/14\\y=110`

Find the value of x

`x=(3)/(11)110=30`

therefore

The numbers are 30 and 110