when the digit of two-digit numbers are reversed,. the no. increase by 27 , the sum of such two digit number is?
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Step-by-step explanation:
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Answer:
22 × ten's face value + 33
Step-by-step explanation:
(10x+y)+27=10y+x
27=10y+x-10x-y
27=9y-9x
27=9(y-x)
y-x=3
y=3+x
10x+y=10x+3+x=11x+3
10y+x=10(3+x)+x=11x+30
so,
addition of both will be...
11x+3+11x+30
=22x+33
VERIFYING....
If x=2, then y=5
25+52=77.....(1)
22×2+33=44+33=77...(2)
(1) and (2) are same
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