Question

1. The age of a man is equal to the sum of the ages of his son and daughter. The ratio of the age of the
son to that of the daughter is 5 : 4. If the age of the man is 45 years, find the ages of his son and
daughter.

Answer 1

$\bold\red{\underline{\underline{Answer:}}}$

$\bold{Ages \ of \ his \ son \ and \ daughter \ is}$

$\bold{25 \ and \ 20 \ years \ respectively.}$

$\bold\orange{Given:}$

1.The age of man is equal to sum of ages of his son and daughter.

2.The age of man is equal to sum of ages of his son and daughter.2.The age of the man is 45 years.

3.The age of man is equal to sum of ages of his son and daughter.2.The age of the man is 45 years.3.The ratio of ages of his son and daughter is 5:4

$\bold\pink{To \ find:}$

Ages of his son and daughter.

$\bold\green{\underline{\underline{Solution}}}$

Let the common factor be x.

4x+5x=45

9x=45

$\bold{x=\frac{45}{9}}$

x=5

His son's age=5×5=25 years.

His daughter's age=5×4=20 years.

Therefore,

$\bold\purple{Ages \ of \ his \ son \ and \ daughter \ is}$

$\bold\purple{25 \ and \ 20 \ years \ respectively.}$