Question

Abhishek is 6 years older than Jagadish. Six years ago Abhishek was twice as old as Jagadish. Write down the situation in algebraic expression and find how old is each now?

Answer 1

Answer: Abhishek is 18 years, Jagadish is 12 years.

Explanation:

Let Abhishek present age be y

Let Jagadish present age be z.

Abhishek is 6 years older than Jagadish. This can be written as:

y = z + 6 ......... equation i

Six years ago, Abhishek was twice as old as Jagadish. This can be written as:

y - 6 = 2(z-6)

y - 6 = 2z - 12

y = 2z - 12 + 6

y = 2z - 6 ........... equation ii

From equation i and equation ii, equate the values of y together. This will be:

z + 6 = 2z - 6

Collect like terms

2z - z = 6 + 6

z = 12 years

This means that Jagadish is 12 years.

From equation I

y = z + 6

y = 12 + 6

y = 18 years

Abhishek is 18 years