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3) Diane and her sister have ages that are two 

consecutive odd integers.  Their product is 63.  

Write and solve an equation for Diane's age if she 

is the younger sister. 


5) One positive number is 4 more than the other, 

and the sum of their squares is 208. Find each 

number.

Verified Answer :

pasha582

Consecutive odd or even integers are of the form x, x+2.
So we have x(x+2) = 63, where Diane's age = x.

x²+2x = 63.
x² + 2x - 63 = 0
(x + 9)(x - 7) = 0
x = -9, or 7.

Since -9 is awfully young, we rule it out and say Diane's age is 7, and her sister is 9.

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