Question

16 years hence from now, the ratio of Mehul's age and Adhyan's
age becomes 15:17 respectively and their present average age
is 48 years, then find the ratio of their ages 8 years ago​

Answer 1

Answer:

their present average age=48 years

their present total age=48×2years=96years

after 16 years their total age=(96+16+16)years

=128 years

after 16 years ratio of their age=15 : 17

so after 16 years Mehuls age=15×128/(15+17)years

=15×128/32years

=15×4years

=60years

present age of Mehul is (60-16)years=44years

8 years ago his age (44-8) years=36years

after 16 years Adhyan s age

=17×128/(15+17) years

=17×128/32years

=17×4years

=68years

present age if Adhyan is (68-16)years=52years

8 years ago Adhyan s age (52-8)years=44 years

so,

ratio of their ages 8 years ago is

36 : 44

=9 : 11