Question

The sum of the ages of ahsan and his mother is 61 years.The difference in their ages is 29 years.By forming a pair of simultaneous linear equations,find (i)ahsan's present age (ii)the age of ahsan's mother when ahsan is 21 years old

Answer 1

(i). Ahsan's Present Age = 16

(ii). Age of Ahsan's Mother when ahsan is 21 years old = 50

Explanation:

Let's say, x represents the age of ahsan.

y represents the age of his mother.

The system of equation from the date given is:

`\begin{bmatrix}x+y=61\\ -x+y=29\end{bmatrix}`

Solve them will get us:

`x=16,\:y=45`

Regards: Umer