The sum of two integers is 121. The larger integer is 7 more than twice the smaller integer. Find the two integers.

X + (2x + 7) = 121 : Write the expression.

3x + 7 = 121 : Combine like terms.

3x + 7 - 7 = 121 - 7 : Isolate x.

3x = 114 : Combined like terms.

3x / 3 = 114 / 3 : Find the value of x.

x = 38 : This is the smaller integer.

(2x + 7) = (2 (38) + 7) = 76 + 7 = 83. : Find the value of the larger number by plugging in the value of x to the larger number's quantity.

The larger number is 83, and the smaller number is 38.