Find two numbers whose difference is 10 and their product is 96
Answers
Answered by
0
Answer:
43 and 53
Step-by-step explanation:
trial and error
Answered by
0
Answer:
The two numbers are 16 and 6 if the difference is 10 and their product is 96.
Explanation:
Let the numbers be X and Y.
We know,
X - Y = 10 .......... (1)
XY = 96 ........... (2)
Let equation number one be marked as 1 and equation number two be marked as 2.
From equation number 1 we get,
X - Y = 10
∴ X = 10+ Y ......... (3).
We mark this new equation as 3.
Now, by the method of substitution, we substitute the value of X in equation number 2.
We get,
XY = 96
By method of substitution,
(10+Y)Y = 96
or, 10Y + = 96
or, + 10Y - 96 = 0
or, + 16y - 6y - 96 = 0
or, (y+16) (y-6) = 0
∴ Y = -16
or Y = 6
Y can not be negative, so Y = 6.
∴ XY = 96
X = 16.
Answer) The two numbers are 16 and 6.
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