Question

Sum of digits of a three digit number is one more than the hundreds digit Sum of the ones digit and hundreds digit is equal to the tens digit find Numbers

Please give answer in linear equation in 2 variables

Answer 1

Step-by-step explanation:

Let the digit in ten's place be x.

Then, the digit in the hundred's place =

3

x

and digit in the unit's place = 4×

3

x

=

3

4x

∴ The original number = 100×

3

x

+10×x+

3

4x

=

3

100x

+10x+

3

4x

=

3

100x+30x+4x

=

3

134x

In the new number,

Digit in the ten's place =

3

4x

Digit in the unit's place =x

Digit in the hundred's place =

3

x

100×

3

x

+10×

3

4x

+x=

3

100x+40x+3x

=

3

143x

Given,

3

143x

−

3

134x

=18

⇒

3

9x

=18

⇒x=6

∴ Original number =

3

134

×6=268

∴25% of 268=

100

25

×268=

4

268

=67