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8. The digit at ten's place of a two digit number is four times the digit at unit
number and the number formed by reversing the digits is 55. Find the
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Answer:
Step-by-step explanation:
Let the original number be xy=10x+y
Digit's on 10
′
s place=x
Digit in units place=y
Given that x=4y
reversed number yx=10y+x
yx=xy−27
10y+x=10x+y−27
9x=9y+27
x=y+3
x=4y
4y=y+3
3y=3
y=1
x=4(1)=4
∴ original number=4
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