Question

The age of a daughter is half the age of mother. The sum of their ages is 72years . Find the age of mother.

Answer 1

Answer:

The required mother's age is 48 years

Step-by-step explanation:

Given :

• The age of a daughter is half the age of mother.
• The sum of their ages is 72 years.

To find :

the age of mother

Solution :

Let the age of mother be x years and daughter be y years

As the age of daughter is half the age of mother,

daughter's age = mother's age/2

y = x/2

The sum of their ages = 72 years

x + y = 72

x + x/2 = 72

(2x + x)/2 = 72

3x/2 = 72

 3x = 72 × 2

 3x = 144

 x = 144/3

 x = 48

∴ Mother's age = 48 years

Answer 2

age of mother is 48

explanation-

let the age of mother is X

then the age of doughter would be 2X

now according to question sum of their age is 72 means - X+2X=72

3X=72

X=24

value of X is 24 means age doughter is 24

then 2X=2*24=72