Two numbers are in the ratio 4:7. If thrice the larger he added to twice the smaller, the sum is 59, find the numbers.
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✪ Question ✪
Two numbers are in the ratio 4:7. If thrice the larger is added to twice the smaller, the sum is 59. Find the numbers.
✪ Given ✪
The ratio of the numbers = 4:7
The thrice the larger when added to twice the smaller gives 59.
✪ To find ✪
The numbers.
✪ Solution ✪
Let the numbers are 4x and 7x.
According to condition,
3(7x) + 2(4x) = 59
→ 21x + 8x = 59
→ 29x = 59
→ x = 59/29
✪ Hence ✪
x = 59/29
So, 4x = (59/29)×4 = 236/29
And 7x = (59/29)×7 = 413/28
✪ Therefore ✪
The numbers are 236/29 and 413/28 respectively.
๑ Hope this helps you. ๑
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