Question

The difference between two positive integers is 13 and their product is 140. Find the two integers

Answer 1

Let first number be x
Second number be y
ATQ. X-Y=13 AND X. Y=140
X=13+Y - - - - - - - - 1
By substituting the value of X
X. Y=140
(13+Y).Y=140
13Y+Y.Y =140
Y.Y+13Y-140=0
Y.Y+20Y-7Y-140=0
Y(Y+20)-7(Y+20)=0
(y-7)(y+20)=0
By putting them equals to zero, we will get
Y=7and Y=-20(N. A) not applicable
By putting value of Y=7 in equation 1,we will get
X=13+Y
X=13+7
X=20