Question

Jayesh is twice as old as his friend Paritosh. Paritosh is 5 years older than Ali. In 3 years, Jayesh
will be three times as old as Ali. How old is Paritosh now?
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Answer 1

Step-by-step explanation:

Let's use the initials of their names:

J=2P

P=(A+5)

A=A

Substitute:

J=2(A+5)

In 5 years:

J=2(A+5) + 5

Look at the third sentence and write as:

2(A+5) +5=3A

2A+10+5=3A

A=15, But be careful! The question asks for Peter's age!

Remember:

P=(A+5)=15+5=20

P=20, our final answer!

Double check the answer by substituting the numbers back into the original equations:

John =40

Peter =20

Alice =15

In 5 years, John will be 45, which is 3 times Alice's age of 15