Question

The sum of Debbie and Joan’s present ages is 59 years. In 5 years, twice Debbie’s age will be equal to Joan’s age. Determine their ages.

Answer 1

Answer: D-18 years, Joan-41 years

Explanation:

Given

The Sum of Debbie and Joan's age is 59

Take x and y as the age of Debbie and Joan

In 5 years, twice Debbie's age will be equal to Joan's age

`\Rightarrow 2(x+5)=y+5`

`\Rightarrow 2x+10=y+5\\\Rightarrow 2x-y=-5`

Also,
`x+y=59`

solving these two equations we get

`\Rightarrow x=18;y=41`