Two numbers are in the ratio 6:11. On adding 2 to the first and 7 to second their ratio becomes 8:15. Find the numbers.
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Step-by-step explanation:
Let the two numbers be 6x and 11x as their ratio is 6:11
Given 2 is added to first and 7 is added to second
Hence the numbers become, (6x + 2) and
(11x + 7)
Given (6x + 2) : (11x + 7) = 8:15
Hence 15(6x + 2) = 8(11x + 7)
90x + 30 = 88x + 56
2x = 26
Therefore, x= 13
Hence the numbers are
6x = 6(13) = 78
11x = 11(13) = 143
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