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if two numbers differ by 7 and their products is 120, what will be the number?
Lexydirect
12 Nov, 2023
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All_for_one
2 years ago
Let
x and y the numbers
we have
x-y=7 ------> x=7+y -----> equation A
x*y=120 ----> equation B
solve the system
substitute equation A in equation B
(7+y)*y=120
solve for y
y^2+7y-120=0
solve the quadratic equation by graphing
the solutions are
y=8 and y=-15
Find out the value of x
For y=8
x=7+8=15
For y=-15
x=7+(-15)
x=-8
therefore
the numbers are
8 and 15 or -8 and -15
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