two number differ by 7 and their products is 60 .find the numbers.
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Answered by
6
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Step-by-step explanation:
Hi,
let the 1st no. be x and 2nd no. be y
also let x be the greater no.,
Then the equations are:-
x-y = 7 .....(1)
x*y = 60 ......(2)
Therefore, x = y+7 ......(3)
Putting 3 in 2 we get,
(y+7)*y = 60,
y^2 + 7y - 60 = 0,
y^2+5y-12y-60 = 0,
Therefore, splitting the middle term,
y(y+7)-12(y+7),
(y+7) (y-12),
Therefore, y = -7 , 12
So, X= 0 and X = 19.
Hope it helps, Pls. mark as the brainliest answer.
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