Question

the sum of digits of a two digit number is 10. the number obtained by interchanging the digits is 36 more than the original number. Find the original number.​

Answer 1

Answer:

37

Step-by-step explanation:

ten's digit = x

one's digit = y

original number = 10x + y

number after interchanging digits = 10y + x

given,

x+y=10

given,

10y + x - (10x + y) = 36

10y + x - 10x - y =36

-9x + 9y = 36

-x + y = 4

solving the equations

y=7

x=3

original number = 10x + y

=37

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