BECE Mathematics 2012 Paper

The least number is a number to add to 308 to get the first multiple of 19 greater than 308.Multiples of 19 $\;19 \times 1 = 19$$\;19 \times 2 = 19 + 19 = 38$$\;19 \times 3 = \{3 8\} + 19 = 57$$\;19 \times 4 = \{5 7\} + 19 = 76$$\;19 \times 5 = \{7 6\} + 19 = 95$$\;19 \times 6 = \{9 5\} + 19 = 114$$\;19 \times 7 = \{1 1 4\} + 19 = 133$$\;19 \times 8 = \{1 3 3\} + 19 = 152$$\;19 \times 9 = \{1 5 2\} + 19 = 171$$\;19 \times 10 = \{1 7 1\} + 19 = 190$$\;19 \times 11 = \{1 9 0\} + 19 = 209$$\;19 \times 12 = \{2 0 9\} + 19 = 228$$\;19 \times 13 = \{2 2 8\} + 19 = 247$$\;19 \times 14 = \{2 4 7\} + 19 = 266$$\;19 \times 15 = \{2 6 6\} + 19 = 285$$\;19 \times 16 = \{2 8 5\} + 19 = 304$$\;19 \times 17 = \{2 8 5\} + 19 = 323$ The least multiple of 19 greater than 308 is 323Let $x =$ the number to add to 308$\;308 + x = 323$$\;x = 323 - 308$$\;x = 15$Note: You could start the multiplication of 19 from $19 \times 10$ since the result is simply joining zero (0) to the 19 to obtain 190. You could then continue with $19 \times 11,19 \times 12$, etc.