the product of two numbers is 36. if the sum is 15 then find the number PLEASE ANSWER THE QUESTION FAST
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A+b=15 Therefore b=15-a This be 1st equation ab=36. Substitute 1st equation in ab=36 and then we get numbers 12 & ...
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Question:
The product of two numbers is 36 . if the sum is 15 then find the number.
Solution:
Let,
two numbers be x and y
then,
x y = 36
x = 36 / y ......eqn(1)
and
x + y = 15
(using eqn (1))
(36/y) + y = 15
(taking LCM)
(36 + y² ) / y = 15
(cross multiplying)
36 + y² = 15 y
y² - 15 y + 36 = 0
(splitting the middle term)
y² - 12 y - 3 y + 36 = 0
y ( y - 12) - 3 ( y - 12) = 0
(y-3) ( y-12) = 0
y = 3
or
y = 12
so,
putting y = 3 in eqn ( 1)
we will get
x = 12
and putting y = 12
x = 3
Therefore, the numbers will be
3 and 12 .
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