Question

]Arjun is thrice as old as hari ,after 5 years he will be two times hari's age .find the present age of hari.

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Answer 1

$\huge\tt\red{\bold{\underline{\underline{❥Question᎓}}}}$Arjun is thrice as old as hari ,after 5 years he will be two times hari's age .find the present age of hari.

$\huge\mathcal{Answer}$

Let the present age of hari be $\bold{\red{x}}$

then Arjun is thrice of hari's age ,then present age of Arjun to be $\bold{\red{3x}}$

According to the Question:-

After 5 years Arjun will be 2 times of hari's age then their future ages will be -->>

$⇛3x + 5 = 2(x + 5)$

$⇛3x + 5 = 2x + 10$

$⇛3x - 2x = 10 - 5$

$⇛ = 5$

Hence, present age of hari is $\bold{\red{5 }}$years.

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Answer 2

$\boxed{\pink{\tt Answer}}$

Given:

Ages of Hari and Harry are in the ratio = 5:7

Ratio of ages of Hari and Harry after 4 years = 3:4

To Find:

• The present age of Hari.
• The present age of Harry.

Solution:

Given that,

Ages of Hari and Harry are in the ratio = 5:7

Ratio of ages of Hari and Harry after 4 years = 3:4

According the question,

$\tt\dfrac{Age \: of \: Hari}{Age \: of \: Harry} =\dfrac{5}{7}$

Let Hari's age be 5x years and Harry's be 7x years.

Then after four years,

Hari's age = $\tt (5x+4)(5x+4)$ years

Harry's age = $\tt (7x+4)(7x+4)$ years

It's given that,

Ratio of ages of Hari and Harry after 4 years = 3:4

Then,

$\tt \dfrac{Hari's \: age \: after \: 4 \: years}{Harry's \: age \: after \: 4 \: years}=\dfrac{3}{4}$

$\tt \longrightarrow \dfrac{5x+4}{7x+4} =\dfrac{3}{4}$

$\tt 4(5x+4)=3(7x+4)$

$\tt 20x+16=21x+12$

$\tt 16-12=21x-20x$

$\sf x=4$

Therefore,

Present age of Hari = $\tt 5x=5 \times 4=20$

Present age of Harry = $\tt 7x=7 \times 4=287x$

Hence the present age of Hari is 20 years and the present age of Harry is 28 years.