Question

A mother is five times as old as her daughter. 5 years ago she was ten times as old
as her daughter. What is the mother's present age.
(3 mks)
ai​

Answer 1

Mother's present age is 45 years.

Step-by-step explanation:

Let the present age of mother be $x$ years

and present age of daughter be $y$ years.

We are given with the following conditions;

• First condition says that mother is five times as old as her daughter, that means;

                         $x = 5 \times y$  ------------ [Equation 1]

• Second condition says that 5 years ago she was ten times as old  as her daughter, i.e.;

                        $x-5 = 10 \times (y-5)$

                        $x-5 = 10y - 50$

                        $5y-5 =10y-50$       {using equation 1}

                        $10y - 5y = 50-5$

                           $5y=45$

                            $y = \frac{45}{5}$ = 9 years

So, putting value of $y$ in equation 1 we get; $x = 5 \times 9$ = 45 years

Therefore, the present age of mother is 45 years.

Answer 2

Answer:

i do not know what is your question