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[size=150] The largest of 2 integers is one more than three times the smaller. If the sum of the two integers is 37, find the larger integer.
For two consecutive integers, the sum of the smaller and twice the larger is 29. Find the smaller integer.

After finding those two answers, find the square of the products of the answers. What is the answer?[/size]
 Jun 18, 2012
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x: smaller
y: larger
Kitsune123:

is one more than three times the smaller


y=1+3*x
Kitsune123:

If the sum of the two integers is 37


x+y=37

[input]solve( y=1+3*x, x+y=37 )[/input]

--------------------
x: smaller
y: larger

Kitsune123:

the sum of the smaller and twice the larger is 29


x+2*y=29
Kitsune123:

For two consecutive integers


y=x+1

[input]solve( x+2*y=29, y=x+1)[/input]

--------------------

{y=28, x=9} and {x=9, y=10}
[input]( 28*9*9*10 )^2[/input]
 Jun 18, 2012

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