Question

A two digit number havina two digit number having y in ones place and x in then place isg y in ones place and x in then place is

Answer 1

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The digit in the tens place...

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Asked on December 20, 2019 by

Amber Devgharkar

The digit in the tens place of a two-digit number is four times the digit in the units place. When the digits are reversed, the number obtained is 27 less than the original numbers. Find the original number.

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ANSWER

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

∴ original number=4