Question

A certain number between 10 and 100 is 8 Times the sum of its digits and if 45 be subtracted from it the digits will be reversed.find the number.

Answer 1

this is the answer

hope it helps you.

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Answer 2

$\fbox\orange{A}\fbox\pink{N}\fbox\blue{S}\fbox\red{W}\fbox\purple{E}\fbox\red{R}$

let the number be xy 

value of number = 10x+y 

10x+y = 8(x+y) 

10x+y =8x+8y

2x-7y=0.

10x+y-45 = 10y+x 

9x-9y=45 

x-y = 5.

multiply by -2

-2x+2y=-10

add to (1) 

-5y=-10

y=2 

x-y =5 

x=7 

Number = 72