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

Answer:

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Step-by-step explanation:

let the number be xy 

value of number = 10x+y 

10x+y = 8(x+y) 

10x+y =8x+8y

2x-7y=0....................(1) 

10x+y-45 = 10y+x 

9x-9y=45 

x-y = 5.................(2) 

multiply by -2

-2x+2y=-10

add to (1) 

-5y=-10

y=2 

x-y =5 

x=7 

Number = 72

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