Question

the sum of the ages of A and B is five fourth the age of C . if the age of A is two third the age of B and sum of all the three is 90 years then find the age (in years) of A.

Answer 1

Answer:

Step-by-step explanation:

A+B=5/4c...given...1

A=2/3B.....given...2

A+B=5/4C...From1

2/3B+B=5/4C....from2

2B+3B/3=5/4C

5B/3=5/4C

5B/3×4/5=C

4B/3=C....3

AGE OF A + AGE OF B+ AGE OF C=90....given

A+B+C=90

2/3B+B+4B/3=90....from2&3

2B+3B+4B=270......multiplying by 3

9B=270

B=270/9

B=30

Putting B=30 yrs in 2

A=2/3B

A=2/3×30

A=10 yrs

Hence ageof A is 10 years