Question

ln a family mother and son's total age is same as father and daughter total
age. Mother's age is three times the son's age. The total age of all family members
is 96 years. What is mother's age ? shoe in step by step
1)48years 2) 36 years (3) 60 years (4) 40 years.​

Answer 1

Answer:

2) 36 years

Step-by-step explanation:

Let the age of son = x years

Therefore, mother's age= 3x years

Total age of mother and son = x + 3x years

According to question

Total age of mother and son = Total age of father and daughter

Therefore,

Total age of mother and son + Total age of father and daughter = 96 years

or, x + 3x + x + 3x  = 96

or, 8x = 96

or, x = 96/8

or, x = 12

Therefore mother's age = 3x = 3 X 12= 36 years

Answer 2

Answer:

Option (2),i.e.,36 years is the correct answer for your asked question.

Please refer to the attachment for the process.