Question

A certain number between 10 and 100 is 8 times the sum of its agits, and if 45 is subtracted
from it, the digits will be reversed. Find the number.
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Answer 1

It could be 72 as it is 8 times the sum of its digits (7+2).

Answer 2

Answer:

72

Step-by-step explanation:

Let the no. be 10x + y

10x+y=8(x+y) eq.1

10x+y=8x+8y

10x-8x=8y-y

2x=7y

x=7y/2

10x+y-45=10y+x eq.2

10x+y-10y-x=45

9x-9y=45

putting the value of x

9(7y/2)-9y=45

(63y-18y)/2=45

45y/2=45

45y=90

y=90/45

y=2

now, putting the value of y to find x

x=7y/2

x=7*2/2

x=7

So, the no. is 10x+y= 70+2

=72