SOLUTION: A boy is one-fifth of his father's age. In 3years time the sum of the boy's and father's age is 72. What is the age of both of them

Algebra.Com
Question 1157205: A boy is one-fifth of his father's age. In 3years time the sum of the boy's and father's age is 72. What is the age of both of them
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
b, the boy
5b, the father

The description:


steps




-------father

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


Using logical reasoning and some simple mental arithmetic, instead of formal algebra (if a formal algebraic solution is not required!)...

The boy is 1/5 of his father's age --> the boy is 1/6 of the SUM of their ages; the father is 5/6 of the SUM.

The sum of their ages 3 years from now is 72 --> the sum of their ages now is 72-2*3 = 66.

The son's age is 1/6 of 66, which is 11; the father is 5/6 of 66, which is 55.

ANSWERS: 11 and 55


RELATED QUESTIONS

A boy is one-fifth of his father age. In three years time, the sum of their ages will... (answered by greenestamps)
The ratio of a boy’s age to his father’s age is 1 : 4. In 4 years’ time, the ratio of... (answered by mananth,josmiceli)
a boy is 0.25 age of his father, after 8 years the sum of both ages is 61. now what is... (answered by fractalier)
A boy age is 1/4 the age of his dad their total age less than 80yrs, by solving an... (answered by ashishtayal)
A boy is 26 years older than his father. in 3 years time, his age would be a third of the (answered by Earlsdon)
A boy is 26 years younger than his father. In 3 years time, his age would be a third of... (answered by mananth)
The age of Anu’s father is four times his age.If 5 years ago,the fathers age was seven... (answered by josgarithmetic)
if three times a boy's ages is increased by3, it will equal his sister's age. The sum of... (answered by ikleyn)
The present age of Romila is one-fourth that of her father. After 6 years the father’s... (answered by macston)