<PRE><B>Question 354682</B>
HI,
Let n be  and (2n - 3) represent the numbers
.
questions states***
{{{n^2 + (2n-3)^2 = 74}}}
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expand &amp; simplify
{{{n^2 + 4n^2 -12n + 9 = 74}}}
.
{{{ 5n^2 -12n  - 65 = 0}}}

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using quadratic formula to solve
{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
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{{{n = (12 +- sqrt( 1444 ))/(10)= (12 +- 38)/(10)}}}
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n = -2.6 (does not qualify as the sum of the squares being 74 )
n = 5  
*(2n - 3)= 7
.
check your answer
25 + 49 = 74



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