y = 5,7
as the sum of 5+7= 12
Step-by-step explanation:
given,
x+y=12
x²+y²=74
now,
(x+y)²=12²
x²+y²+2xy= 144
74+2xy=144
2xy=70
again,
(x-y)²= x²+y²-2xy
(x-y)²= 74-70
(x-y)²=4
x-y= 2
x-y=2
on adding,
2x= 14
x= 7
on subtracting,
2y=10
y= 5
hence the no. are 7 and 5
#666
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Answers & Comments
y = 5,7
as the sum of 5+7= 12
Verified answer
Step-by-step explanation:
given,
x+y=12
x²+y²=74
now,
(x+y)²=12²
x²+y²+2xy= 144
74+2xy=144
2xy=70
again,
(x-y)²= x²+y²-2xy
(x-y)²= 74-70
(x-y)²=4
x-y= 2
x-y=2
x+y=12
on adding,
2x= 14
x= 7
on subtracting,
2y=10
y= 5
hence the no. are 7 and 5
#666