Question

Two numbers are in ratio 5:6.If 7 is substracted from each of the number,the ratio becomes 4:5.Find numbers.

Answer 1

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:

The nos are 35 and 42.

Step-by-step explanation:

➡Let the nos be 5x and 6x.

Then,

✔5x -7 / 6x - 7 = 4/5

✔5 (5x - 7) = 4 (6x - 7)

✔25x - 35 = 24x - 28

✔25x - 24x = -28 + 35.

➡x = 7.

The numbers are :

▶5x = 5 x 7 = 35.

▶6x = 6 x 7 = 42