Is the following situation possible ? If so, determine their present age.
The sum of ages of two friends is 30 years. Four years ago, the product of their ages in year
was 112.
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Step-by-step explanation:
let their age be x, y
from given
x+y=30---eqn1
y=30-x----eqn2
(x-4) (y-4) =112
xy-4x-4y+16=112
xy-4(x+y) =96
sub eqn1 and eqn2 on above eqn, we get
x(30-x) -4*30=96
30x-x^2-216=0
x^2-30x+216=0
(x-18) (x-12) =0
x=12 or x=18
if x=12 y=18
if x=18 y=12
two friends age are 12,18
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