The sum of the digits of a two - digit number is 10. The unit's digit is four times the ten's digit. Find the numbers.
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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
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