Question

4. A certain number between 10 and 100 is 8 times the sum of its digits, and if 45 be subtracted from.......​

Answer 1

Answer:

Step-by-step explanation:

let us assume the digits to be x and y.

Hence, the original number will be:- 10x+y

And the reversed number will be :- 10y+x

Here according to the equation:-10x+y-45=10y+x

solving the above equation gives us:-

9x-9y=45

x-y=5  ....(1)

it was also given that:-

8(x+y)=10x+y

8x+8y=10x+y

0=2x-7y

from equation 1:-

2x-7y=0

2(y+5)-7y=0

2y+10-7y=0

5y=10

y=2

substituting in equation 1:-

x-y=5

x-2=5

x=7

so the original number is 72

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