Question

If ten years hence A's age be double the
B's age ten years back and now it is ten
years more than that of B's age. What is
the age of B ?​

Answer 1

Step-by-step explanation:

Let A age be x and B age be y

Ten year's hence : x+10, y+ 10

x+10 = 2 ( y+ 10 -10 )

x + 10 = 2( y )

x - 2y = -10 ===> eq 1

Present age :

x = 10 +y

x - y = 10 ===> eq 2

Elimination method

x - 2y = -10

x - y = 10 ( change sign and cancel x )

____________

- y = -20

y = 20

x - y = 10

x - 20 = 10

x = 10 + 20

x = 30

x = 30

A's age = 30 years

B's age = 20 years

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