SOLUTION: Juan is 5 years older than his sister juanita. How old is each if the product of their age is twice the square of juanitas age?

Question 939249: Juan is 5 years older than his sister juanita. How old is each if the product of their age is twice the square of juanitas age?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
let j = Juan's age
let s = sister's age
:
Write an equation for each statement
:
Juan is 5 years older than his sister juanita.
j = s + 5
How old is each if the product of their age is twice the square of juanitas age?
j*s = 2s^2
Replace j with (s+5)\
s(s+5) = 2s^2
divide both sides by s
s + 5 = 2s
5 = 2s - s
5 = s
:
Sister is 5 yrs old then obviously, J is 10 yr old
:
:
See if that works in the statement
"the product of their age is twice the square of Juanita age?"
10*5 = 2(5^2)
50 = 2(25)
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