Nathan and Audrey had $250. After Audrey gave $10 to Nathan, they had the same amount of money left. How much money did Nathan have at the beginning?

Question

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Answer 1

N = amount Nathan had

A = amount Audrey had

N + A = 250 (total at the beginning)

A - 10 = N + 10 (Audrey drops by 10 while Nathan increase by 10, and both are equal after this change)

From the second equation, get

A = N + 20

Plug this into the first equation and get

N + (N + 20) = 250

2N + 20 = 250

2N = 230

N = 115