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11. A number is divided into two parts such that one part is 12 more than the other. If the two parts are in the ratio 12. Find the numbers?​

Answer»

Answer:

12,24

Step-by-step EXPLANATION:

LET one part be x.

Given that other part is 12 more than first.

So, the other part becomes x+12 .

Ratio of the PARTS =1:2

So,

We can write x:x+12 =1:2

\IMPLIES\frac{x}{x + 12} = \frac{1}{2}⟹x+12x=21

\implies2x = x + 12⟹2X=x+12

\implies \: 2x - x = 12⟹2x−x=12

\boxed{ \boxed{ \implies \: x = 12}}⟹x=12

So, the first part is 12 .

Other part =x+12

=12+12

=24

The original number is 12+24

=36 .

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