Math, asked by shahyatri55, 3 months ago

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.​

Answers

Answered by purnapushkalam1991
1

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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