Question

I am a number less than 3,000. When you divide me by 32, my remainder is 30. When you divide me by 58, my remainder is 44. What number am I?

Explain your thinking.

Answer 1

n = number    n < 3000    n = 32( p) + 30    n = 58( q) + 44     32( p ) + 30 = 58 ( q) + 44    3000 - 30 = 32p       P = 92     n = 2944    2944 - 44 = 58 q     q = 50      n = 2944