Ten years later, A will be twice as old as B and five years ago, A was three times as old as B. What are the present age of A and B
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6
Answer:
let the present age of A = x
and present age of B = y
ACQ
ten year later
( x+10) = 2 (y + 10 )
x +10 = 2y+20
x -2y = 10 ----------(1)equation
five year ago
( x - 5) = 3 ( y -5 )
x -5 = 3y -15
x - 3y = -10 ----------(2) equation
by eliminating 1 and 2 equation
x -2y - ( x - 3y) = 10 - ( -10)
x -2y - x +3y = 10 + 10
y = 20
on putting the value of y in (1) equation
x -2y = 10
x - 2 * 20 = 10
x - 40 = 10
x =50
so the age of A = 50 and B = 20
hope it helps
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