The sum of the digits of a two-digit number is 10. If the digits are reversed, then the new number is 36 more than the original number. Identify the two-digit number
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Answered by
1
Answer:
37 is original number
Step-by-step explanation:
lets say the number is made up of x and y digits and y is UNIT DIGIT :
so number is originally,
x*10 + y
also given in question that
x+y=10 ... equation 1
when you swap digits number becomes 36 more than original number so we can write...
y*10 + x =36 + x*10 + y ..... simplify it and you get
y - x =4 .... equation 2
to solve this, simple add equation 1 and equation 2 like:
x + y + y - x = 10 +4 =14
so y =7 and x=3
original number becomes = 3*10 + 7 =37
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1
Answer:
if any doubt still exists then you can ask
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