Question

A number consists of two digits, the difference of whose digits is 5. If 8 times the number is equal to 3 times the number obtained by reversing the digits, find the number.​

Answer 1

Answer:

27

Step-by-step explanation:

let the digits be x and y

so the number will be 10x+y

on reversing the digits number is 10y+x

given that:

x-y=5

y=x-5      eq-1

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

80x+8y=30y+3x

77x=22y

dividing by 11

7x=2y

from eq-1

7x=2(x-5)

7x=2x-10

5x=-10

x=-2

from eq-1

y=x-5

y=-2-5

y=-7

this negative sign is due to our wrong assumption that x>y

so the number is 10*2+7 = 27