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one number is 3 more than another. twice the larger number minus the smaller is 15. what are the two numbers?
twice the larger is 6 plus twice the smaller,
hence twice the larger minus the smaller is 6 plus the smaller, equals fifteen,
the smaller is then fifteen minus six equals nine,
the larger is then three plus nine, equals twelve.
Verification : twelve equals 3 plus 9, and twice twelve, twenty-four, minus nine, equals fifteen. (fifteen plus nine equals twenty-four).