Question

Two numbers are in the ratio of 5 : 6.If 8 is subtracted from each of the numbers the ratio becomes 4.5.Find the numbers.​

Answer 1

Answer:

Explanation:

=>Let,the two no be x and y

=>Therefore x / y = 5 / 6

=>6 * x = 5 * y

=>6 * x - 5 * y = 0             * 5

=>30 * x -     25 * y = 0 ...........(i)

=>Also (x - 8)/(y - 8) = 4 / 5

=>5 * x - 40 = 4 * y - 32

=>5 * x - 4 * y - 8 = 0                 *6

=>30 * x - 24 * y - 48 = 0 .....................(ii)

=>Subtracting  (i) from (ii)

=>y - 48 = 0

=>y = 48

=>Putting y = 48 in x/y = 5/6

=>x/48 = 5/6

=>x = 5 * 48 / 6

=>x = 5 * 8

=>x = 40

Therefore the two numbers are 40 and 48

Answer 2

Answer:

Explanation:

Let the two numbers be x and y.

Then, by first Condition, ratio of these two numbers = 5:6.