The word “increased” indicates the symbol “ + ”.
\ \The word “equals” indicates the symbol “=”
\Let n represent number.
\Rewrite the sentence into equation, \ \
\The equation is n + 91 = 37
\Subtraction property of equality: if a = b, then a c = a
b.
n + 9191 = 37
91 (Subtract 91 from both sides)
\
\
n = 3791 (Additive inverse property: 91
91 = 0)
\
n = 54 (Subtract: 37
91 =
54)
Check:
\To check the solution, substitute n = 54 in original equation.
n + 91 = 3754 + 91 = 37
37 = 37 (Add: 54 + 91 = 37 )
Compare the values, the equation is true. The solution is n = 54.
The value of n = 54.