Question

A number consist of two digit whose sum is 7.if 27 is added to the number the digits are reversed .find the no

Answer 1

Let the number be x and 7-x

10×x+(7-x)

10x+(7-x)

9x+7

When we interchange the digits

10×(7-x)+x

70-10x+x

70-9x

9x+7+27=70-9x

7+27-70=(-9x)(-9x)

36=(-18x)

36÷18=(-x)

2=x

7-x=5

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