Question

A number consists of two-digits. The digit at the units place is 1 more than 3 times the digit at the tens place.
If 45 is added to the number, the digits are reversed. Find the number.
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Answer 1

Answer:

Let the one's place be y and tens digit be x.

then, Number = 10x + y.

∴ Given, (x) = 2y ∴5x=2y⋯(i)

But, if 18 is subtracted, then, number gets reversed

ie. 10y + x.

∴(10x+y)−18=10y+x

⇒10x+y−18=10y+x

⇒10x−x+y−10y−18=0

⇒9x−9y−18=0

⇒x−y−2=0 Putting [y=

2

5x

]

⇒x−

2

5x

−2=0

⇒2x−x−2=0 ∴y=

2

x

y = 1

⇒x=2

∴ Number = 21

Answer 2

Answer:

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