Question

16. Two numbers are in the ratio 8 : 11. If each number is decreased by 6, the
resulting numbers are in the ratio 7:10. Find the numbers.​

Answer 1

Answer:

the numbers are 76/15 and 209/30

Step-by-step explanation:

given, two numbers are in the ratio 8:11

let the numbers be 8x and 11x

also, if 6 subtracted from both numbers, resulting numbers are in the ratio 7:10

=> (8x-6)/(11x-6) = 7/12

=> 96x-72 = 77x-42

=> 19x = 30

=> x = 19/30

=> 8x = 152/30 = 76/15

and, 11x = 209/30