Question

a number consists of 2 digits, the difference of whose digits is 5. If 8 times the number is 3 times the number obtained on reversing the digits, find the number

Answer 1

Answer:

27

Step-by-step explanation:

Let say number = xy

value of number = 10x + y

| x-y | = 5

reversed number = 10y + x

8 (10x +y) = 3 (10y +x)

80x + 8y = 30y + 3x

77x = 22y

7x = 2y

y = 7x/2

| x - 7x/2 | = 5

I-5x/2 I = 5

| -x | = 2

x = 2

| 2 - y | = 5

y - 2 = 5

y = 7

number = 27