Question

4. A certain number between 10 and 100 is 8 times the sum of its digits. If 45 is subtracted from it the digits will
be reversed. Find the number.​

Answer 1

Answer:

72

Step-by-step explanation:

let the number be x  and  y  

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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