When two-digit digits are interchanged, the value of the number increases by 27. What is the sum of such two digit numbers?
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Answer:let the digit at ones place be y and digit at tens place be x
Therfore
10x+y=10y+x-27
9x-9y=-27
9(x-y)=-27
x-y=-3
x+3=y
Therfore
Possible numbers are
14, 25,36,47,58,69
Sum of these numbers is: 249
Therfore answer is 249
Step-by-step explanation:
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