Question

a two digit number is such that the sum of the ones digit and the ten digit and the tens digit are reversed the number formed exceeds the original number by 54 .find the number

Answer 1

Answer:

4

Step-by-step explanation:

MATHS

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.

December 20, 2019avatar

Amber Devgharkar

SHARE

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