Find the numbers if the two numbers are 7 and their difference is 5
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given ,
sum of two number = 7
let, x and y be those numbers
x + y = 7 ---------(1)
difference of those two number = 5
x - y = 5--------(2)
OR
y - x = 5( -x + y = 5)----------(3)
now,
adding both equations,
CASE (i)
x + y = 7
x - y = 5
--------------
2x = 12
x = 6
putting X's value in (1) equation,
6+y = 7
y = 1
X = 6 & Y = 1
CASE(ii)
x + y = 7
-x + y = 5
---------------
2y = 12
y = 6
putting Y's value in (1) equation,
x + 6 = 7
x = 1
X = 1 & Y= 6
hence ,there can be two set of answers possible on case one with 1&6 and case two with 6&1 as values.
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