Question

The present age of rahul mother is four times the present age of rahul. after five year their age will add to 80year .find there present age.

Answer 1

Explanation:

Hope it helps.If so please be grateful and mark it as branliest.

Answer 2

Given:

The present age of rahul mother is four times the present age of rahul. after five year their age will add to 80 year .

To Find:

• Their present ages

Solution:

• Let the present age of Rahul be y years.

• Also, let the present age of Rahul's mother age be 4y years.

According to the question :

Present age of Rahul's mother = 4 times present age of Rahul

Given :

After 5 years, sum of their ages will be added to 80 years

Hence, the required equation will be,

$\begin{gathered} \tt \: \: \: \: \: \: \: \: \: \: \: \: (y+ 5) + (4y + 5) = 80 \\ \\ \\ \tt\implies \: \: (y + 4y) + (5 + 5) = 80 \\ \\ \\ \: \tt \implies5y + 10 = 80 \: \: \: \: \: \: \\ \\ \\ \tt \implies5y= 80 - 10 \\ \\ \\ \tt \implies5y = 70 \\ \\ \\ \tt\implies \:y = \frac{70}{5} \\ \\ \\ \tt \implies \:y= 14 \\ \\ \end{gathered}$

Finding their ages by substituting the x value :

$\begin{gathered}\sf \: Rahul's \: age \: = \: y \: years \: = \: 14 \: years \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: Rahul's \: mother \: age \: = 4y \: years \: = \: 4 \: × \: 14 \: years \: = \: 56 \: years\end{gathered}$

Hence, The present ages of Rahul's and Rahul's mother are 14 years and 56 years.