Question

the age of A and B is in ratio 5:3 after 6 year their ratio will be 7:5 what is present age of A

Answer 1

Answer:

Step-by-step explanation:

as  per question

A/B=5/3

∴3A=5B

again a/q,

A+6/B+6=7/5

⇒5A+30=7B+42

⇒5A-7B=12

⇒5A-21A/5=12                          (∵3A=5B)

⇒25A-21A=60

⇒4A=60

∴A=15 ANS

Answer 2

Answer: 15 yrs

Step-by-step explanation:

The ages of A and B are in the ratio 5:3.

Let x = the multiplier, then

5x = A's age

and

3x = B's age

:

After 6 years, their will be in the ratio 7:5.

%285x%2B6%29%2F%283x%2B6%29 = 7%2F5

 

cross multiply

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

25x + 30 = 21x + 42

25x - 21x = 42 - 30

4x = 12

x = 12/4

x = 3 is the multiplier

:

Then the present age of A is: 5*3 = 15 yrs