Question

The ages of Adam Ben and Caleb are in the ratio 5:7:11 next year they will be in the ratio 8:11:17 how old are they now?

Answer 1

Answer: Age of Adam, Ben and Caleb are 15 years, 21 years,and 33 years respectively.

Explanation:

Since we have given that

Ratio of ages of Adam, Ben, and Caleb is given by

`5:7:11`

so, let the age of Adam be 5x

Let the age of Ben be 7x

Let the age of Caleb be 11x

After one year, their age will be

Adam's age = 5x+1

Ben's age = 7x+1

According to question, it becomes,

`(5x+1)/(7x+1)=(8)/(11)\\\\\text{Using cross multiplication}\\\\11(5x+1)=8(7x+1)\\\\55x+11=56x+8\\\\11-8=56x-55x\\\\3=x`

So, Their age will be

Adam's age is given by

`5* 3=15`

Ben's age is given by

`7* 3=21`

Caleb's age is given by

`11* 3=33`

Hence, Age of Adam, Ben and Caleb are 15 years, 21 years,and 33 years respectively.