the sum of the digits of two digit no.is 8. if the number obtained by interchanging the digit is 36 more than the original no. find the no.
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Answer:
the original number is 26
Step-by-step explanation:
let the number be xy
given sum of the numbers is 8 that means
x+y = 8
yx = 36+xy
10y + x = 36+ 10x + y
9y = 36 + 9x
9(8-x) = 36 + 9x
72 - 9x = 36 + 9x
18x = 36
x = 2
y = 6
the original number is 26
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