Question

two numbers are in the ratio 6 : 11. On adding 2 to the first and 7 to the second ,thier ratio becomes 8 : 15.
find the numbers.​

Answer 1

Answer: 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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Answer 2

Step-by-step explanation:

let the ratio term be x

6x+2+11x+7=8x+15x

17x+9=23x

9=6x

x=9/6

=3/2