MathCastle
Grade 6SuperchallengeNegative Numbers

Negative Numbers · Superchallenge problem

A new operation ⋄\diamond is defined by a⋄b=a×b−(a−b)a\diamond b=a\times b-(a-b). For example, 3⋄1=3−2=13\diamond 1=3-2=1. Which integer xx makes x⋄(−2)=16x\diamond(-2)=16?