Question

sloveitpleasemyrequest​

Answer 1

Answer:

Ratio of son:mother:father $=1:5:6$

Step-by-step explanation:

Let present age of mother be $x$

Let present age of father be $y$

According to question, present age of boy will be $=\frac{1}{5}x$

sum of the ages of the son and the mother = age of father

∴ $\frac{1}{5}x+x=y$

$\frac{6x}{5}=y$                (1)

After 15 years,

Age of mother will be $x+15$

Age of father will be $y+15$

Age of boy will be $\frac{1}{5}x+15$

sum of the ages of the son and the mother = $\frac{4}{3}$ age of father

$x+15+\frac{1}{5} x+15=\frac{4}{3}( y+15)$

$\frac{6x}{5}+30=\frac{4y}{3}+20$

substituting value from equation 1

$y+30=\frac{4y}{3} +20$

$10=\frac{4y}{3} - y$

$10=\frac{y}{3}$

$y=30$

Hence present age of father is $30 years$

present age of mother will be $\frac{6x}{5}=30\\6x=150\\x=25$

present age of boy $\frac{1}{5} x=\frac{1}{5} 25\\=5years$

Ratio of son:mother:father =$5:25:30$

                                            $=1:5:6$