Question

the ratio of present ages of arti and arjun is 5:3 . if arti is 45 years old , what is arjuns present age
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Answer 1

Answer:

Given :

The Ratio of present ages of arti and arjun is 5:3 .

Arti's age is 45 yrs .

To Find :

Present age of Arjun .

Solution :

\longmapsto\tt{Let\:present\:age\:of\:Arti\:be=5x}⟼LetpresentageofArtibe=5x

\longmapsto\tt{Let\:present\:age\:of\:Arjun\:be=3x}⟼LetpresentageofArjunbe=3x

As Given that Age of Arti is 45 . So ,

\longmapsto\tt{5x=45}⟼5x=45

\longmapsto\tt{x=\cancel\dfrac{45}{5}}⟼x=

5

45

\longmapsto\tt\bf{x=9}⟼x=9

Value of x is 9 .

Therefore :

\longmapsto\tt{Present\:age\:of\:Arjun=3(9)}⟼PresentageofArjun=3(9)

\longmapsto\tt\bf{27\:years}⟼27years

Step-by-step explanation:

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Answer 2

Answer:

Arjun's age is 27 years.

Step-by-step explanation:

Given :

The ratio of present ages of arti and arjun = 5:3

Arti's age = 45 years

Arjun's age = ?

So,

$5:3 = \frac{5}{3}$

$\frac{5}{3} \times \frac{9}{?} = \frac{45}{?}$

$\frac{5}{3} \times \frac{9}{9} = \frac{45}{27}$

Hence, Arjun's age is 27 years.