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Question

A two digit number is such that the product of its digits is 18. When 63 is subtracted from the number, the digits interchange their places. Find the number.
[4 MARKS]


Solution

Framing the equation: 1 Mark
Steps: 2 Marks
Answer: 1 Mark

Let the tens digit be x. Then, the units digit =18x

  Number =10x+18x

and, Number obtained by interchanging the digits =10×18x+x

(10x+18x)(10×18x+x)=63

10x+18x180xx=63

9x162x63=0

9x263x162=0

x27x18=0

(x9)(x+2)=0x=9 or, x=2

But, a digit can never be negative. So, x = 9

Hence, the required number =10×9+189=92

Mathematics

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