Question

Ajay’s age is twice Vijay’s age. The sum of their ages is 30yrs. What is Ajay’s age?

Answer 1

Answer:

Ajay is younger than Vijay by 5 years. Sum of their ages is 25 years. Thus, Ajay's age is 10 years.

Answer 2

Given

We have given Ajay's age is twice of Vijay age .

sum of their ages is 30 years .

To find

We have to find Ajay 's age

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

Since ,we don't know the age of Ajay or vijay So,we have to assume some Variable in terms of their ages to make an equation .

➙Let us assume Ajay be 'x' years old

Since, Ajay is twice of of Vijay so,

➙Vijay's age be 'x/2'

Their sum.of their ages is 30

According to the question:

➙x+x/2=30

➙2x+x/2=30

➙3x/2=30

➙3x=60

➙x= 60÷3=20

Hence, Ajay 's age is 20 years

and Vijay's age is 20/2=10 years

Check:

Sum of their ages is 30 years : 20+10=30

Concept:

linear equations in one variable is used here .