the ratio of the digit is 3-digit to the number 1:2:3 on adding 396 to the numbe...

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July 2022 2 25 Report

the ratio of the digit is 3-digit to the number 1:2:3 on adding 396 to the number its digit are reversed find the number

Kkashyap Here is your solution

Given :-

Ratio x : y : z = 1 : 2 : 3

Let ,

The number be xyz.

3x = z , 2x = y .

A/q

100x+10y+z + 396 = 100z + 10y + x (given)

99x-99z = -396

99z - 99x = 396

z - x = 396/99

z - x = 4

3x - x = 4 .

2x = 4

x = 2

Hence,
The number is 246

hope it helps you

SmãrtyMohït

Verified answer

Let the unit digit be 3x,tens digit be (2x) and hundreds digit be (x).
So, no. =100(x)+10(2x)+3x
According to question ..
100x+20x+3x+396=100(3x)+10(2x)+x
396=198x=>x=2.
So,no= 100(2)+10(4)+6
=246

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