present age ratio of A and B is 2:3 after 12 years their age ratio will be 3:4 find the present age of A
Answers
Step-by-step explanation:
the present age of a = 2x
the present age of b = 3x
after 12 years
age of a = 2x+12
age of b = 3x +12
and equal to 3:4
3\4 =2x + 12 /3x + 12
3(3x + 12) = 4(2x + 12)
9x +36 = 8x +48
9x -8x = 48 - 36
x = 12
the present age of a = 2×12
= 24
the present age of b = 3× 12
= 36
hope it helped
Let the present age of A = 2x years
present age of B = 3y years
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After 12 years,
Age of A = 2x + 12....(1)
Age of B = 3y + 12....(2)
Also,
The ratio of their ages after 12 years is 3:4
So,
Age of A after 12 years = 3x....(3)
Age of B after 12 years = 4y.....(4)
____________________
Equating eq (1) and (3)
2x + 12 = 3x
2x - 3x = -12
-x = -12
x = 12 years
____________________
Now, we had supposed the present age of A is 2x years.
So,
Present age of A = 2 × 12 => 24 years