Respuesta :

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

Step-by-step explanation:

Since we have given that

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

[tex]5:7:11[/tex]

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,

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

So, Their age will be

Adam's age is given by

[tex]5\times 3=15[/tex]

Ben's age is given by

[tex]7\times 3=21[/tex]

Caleb's age is given by

[tex]11\times 3=33[/tex]

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

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