Question

The present ages of A and B are in the ratio 5 : 3. After 6 years, their ages will be in the ratio
7 : 5. The age of A is

Answer 1

Answer:

15 years.

Step-by-step explanation:

let, present age of A=5x years

age of B=3x years

after 6 years

ages of A=5x+6

ages of B=3x+6

now, (5x+6)×5=(3x+6)×7

or, 25x+30=21x+42

or, 4x=12

or,x=3

so, age of A=5×3=15 years

Answer 2

Answer:

present age of A is 5x years and B is 3x years

after 6 years ,A is (5x+6) years and B is (3x+6) years

5x+6 : 3x+6=7 : 5

=> (5x+6)/(3x+6)=7/5

=> 5(5x+6)=7(3x+6)

=>25x+30=21x+48

=> 25x-21x=48-30

=> 4x=18

=> x=18/4=9/2

so the age of A=5×9/2years=45/2 years=22.5 years