Two numbers are in the ratio 4:7. If thrice the larger be added to twice the smaller the sum is 59 find the greater number.
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Two numbers are in the ratio 4:7. So let the two numbers be 4k and 7k respectively. Then 3(7k)+2(4k)=59=>21k+8k=59 =>29k=59 =>k= 59/29. Hence the greatest number is 7k =>7(59/29) => 413/29. Hope it helps you.
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