Question

Ages of a and b are in the ratio 8:3. Since 6 years their ages will be 9:4 find age

Answer 1

ages of a:b = 8:3

3a=8b. a=8b÷3

now 6 years after

a+6 : b+6 = 9:4

4(a+6)=9(b+6)

4a+24 = 9b+54

4a-9b=54-24

4a-9b=30

4(8b÷3)-9b=30

32b÷3 -9b=30

taking lcm

(32b-27b)÷3=30

5b=30*3

b=90÷5

b=18 years

now a=8b÷3

a=8*18÷3

a=8*6

a=48 years