the ratio of the digit of a 3-digit number 1:2:3: on adding 396 to the number th...

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August 2021 2 48 Report

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

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Let the number be xyz.

Given ratio x : y : z = 1 : 2 : 3

So, 3x = z , 2x = y .

Also given,
100x+10y+z + 396 = 100z + 10y + x

99x-99z = -396

99z - 99x = 396

z - x = 396/99

z - x = 4

3x - x = 4 .

2x = 4

x = 2 .

So, the number is 246

SmãrtyMohït

Verified answer

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

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