Question

Two numbers are in the ration of 6:11. on adding 2 to the first and 7 to the second, their ratio become 8:15 find the number​

Answer 1

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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