Math, asked by deveshverma2848, 1 year ago

in a two digit number that tens digit is thrice the unit digit when the digits are reversed the number is reduced by 54 find the numbers

Answers

Answered by sijasubbiah
36
Hey

Here is your answer,

Let the Unit digit be x
and tens digit be y

Original number :- 10y + x
Reversed number :- 10x + y

• the ten's digit is three times the unit digit.
y = 3x ........ ( i )

• when the number is decreased by 54, the digits are reversed.

10y + x - 54 = 10x + y
10y - y + x - 10x = 54
9y - 9x = 54
9 ( y - x ) = 54
y - x = 54/9
y - x = 6 ..... ( ii )

Putting value of y from ( i ) in ( ii )

y - x = 6
3x - x = 6
2x = 6
x = 6/2
x = 3

Putting value of x in ( i )
y = 3x
y = 3 × 3
y = 9

The required number is 10y + x :- 93x

Hope it helps you!

Answered by kokilarana149
2

Step-by-step explanation:

So the original number will be 93.

hope it will helps u

Attachments:
Similar questions