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.
Answers
Answered by
30
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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