four years ago the ratio of the ages of A and B was 2 ratio 3 and after 4 years it becomes 5 ratio 7 find their present ages
Answers
Step-by-step explanation:
four years ago the ratio is 2:3
Therefore let the ages of A and B be 2x and 3x
Therefore their present age will be 2x+4 and 3x+4 respectively
So after 4 years their age becomes 2x+8 and 3x+8 respectively
Therefore the ratio will of their ages will be 2x+8:3x+8 which is equal to 5:7
Therefore 2x+8/3x+8 = 5/7
Cross multiplying we get
7(2x+8)=5(3x+8)
=> 14x+56=15x=40
=>56-40 = 15x-14x
So x=6
Therefore the present age of A will be 2x+4 years
=12+4 years
= 18 years
Similarly the present age of B will be 3x+4 years
= 18+4 years
= 22 years