A will be twice as old as B was 5 year ago. if A is now 9 year older than B, than the present age of B.
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ANSWER:
The present age of B is 14.
GIVEN:
A will be twice as old as B was 5 year ago and A is now 9 year older than B.
TO FIND:
The present age of B.
EXPLANATION:
Let age of A be x and age of B be y.
A will be twice as old as B was 5 year ago
x - 5 = 2 (y - 5)
x = 2y - 10 + 5
x = 2y - 5
Also A is now 9 year older than B.
x = y + 9
Equate both the x values
y + 9 = 2y - 5
- y = -14
y = 14
The present age of B is 14.
THE PRESENT AGE OF A:
Substitute y = 14 in x = y + 9
x = 14 + 9
x = 23
The present age of A is 23.
VERIFICATION:
Substitute y = 14 and x = 23 in x - 5 = 2 (y - 5)
23 - 5 = 2(14 - 5)
18 = 2(9)
18 = 18
HENCE VERIFIED.
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