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Find 2 numbers in the ratio of 4:7 such that thrice the larger number added to twice the number totals 58

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If you multiply both 4 and 7 by 2 you get a ratio of 8:14.
3 x 14 = 42 and
2 x 8 = 16
42 + 16 = 58 which satisfies the requirements of your problem.

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