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Answer to Question #33120 in Algebra for Mano
Question #33120
the sum of two numbers is 18 and thier product is 65. find the numbers.
Expert's answer
Let the first number is a, the second is b. So we have:
a+b=18, ab=65
From the first equation a=18-b. Substituting it instead of a into the second equation we obtain:
(18-b)b=65
18b-b^2=65
b^2-18b+65=0
Solving it for b we get:
b=5 or b=13.
So for a we have the next options: a=13 or a=5
Answer: the umbers are 13 and 5.
a+b=18, ab=65
From the first equation a=18-b. Substituting it instead of a into the second equation we obtain:
(18-b)b=65
18b-b^2=65
b^2-18b+65=0
Solving it for b we get:
b=5 or b=13.
So for a we have the next options: a=13 or a=5
Answer: the umbers are 13 and 5.
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