Question

A number is 27 more than the number obtaibed by reversing its digits. If its units and tens digits are x and y respectively,write the linear equation representing the above statement.

Answer 1

Unit Digit = x
Tens Digit = y

So,

Number = 10y + x

According To The Given Statement 

(10x + y) + 27 =10y + x ----[10x + y is reverse of the original number]
10x + y + 27 = 10y + x
10y + x - 10x - y = 27
9y - 9x = 27

Dividing Whole Equation By 9

y - x = 3
3 + x - y = 0
x - y + 3 = 0

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