To divide 364 into two parts in the ratio 15:11, add 15+11 to get 26. Now divide 364 by 26 to get 14. This counters 14 for each part, and we have 26 parts. If each part is x, and x=14, x times 15 will equal 15x=210, so the first number is 210. x times 11 will equal 11x=154, so the second number is 154. 210-154=56, so the first number is 56 bigger than the second.
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