Sherry is 31 years younger than her mom. The sum of their ages is 61. How old is Sherry?

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Sherry is 31 years younger than her mom. The sum of their ages is 61. How old is Sherry?

Let Sherry's age be s. Let the mom's age be m. We're given two equations:

1. s = m - 31
2. m + s = 61

Substitute equation (1) into equation (2) for s:
m + m - 31 = 61

To solve for m, we type this equation into our search engine and we get:
m = 46

Now, we plug m = 46 into equation (1) to find Sherry's age s:
s = 46 - 31
s = 15