Question

31. Sum of ages of brother and sister is
45. Five years ago three times the age of
sister was five more than
two times the age of brother at that time.
Find present ages of brother and sister
respectively
(4 Points)
22, 23
25, 20​

Answer 1

Answer:

The age of brother is 23 and that of sister is 22

Answer 2

Answer:

let the age of brother =m

sum of age of brother and sister=45

sum of age of brother and sister=45sister age = 45-m

five years ago three times the age of sister was five more than two times the age of brother at that time

Age of brother = (m-5)

Age of sister = (45-m-5)

= 4-m

According to condition

3(40-m) =2(m-5)+5

120-3m =2m-10+5

120-3m=2m-5

120+5=2m+3m

125=5m

m=25

Present age of brother =25 years

present age of sister =45-m

=20 years