Question

Nikita's present age is 3 times the present age of Nikhil.After 4 years the ratio of Nikita's age to Nikhil's age will be 7:3. find their present age. ​

Answer 1

Answer:

Nikhail's age = 8

Nikita's age = 24

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Answer 2

Answer:

$\fbox\pink{\tt The\:present\:age\:of\:Nikhil\:is\:8\:years.}$

$\fbox\pink{\tt The\:present\:age\:of\:Nikita\:is\:24\:years.}$

Step-by-step explanation:

$\large\mapsto\underline\mathtt\purple{Letting\:their\:present\:age:-}$

• Nikhil's age = x
• Nikita's age = 3x

$\large\mapsto\underline\mathtt\purple{After\:4\:years:-}$

• Nikhil's age = (x + 4)
• Nikita's age = (3x + 4)

$\large\mapsto\underline\mathtt\pink{Equation:-}$

$\leadsto\mathtt{\dfrac{x+4}{3x+4} = \dfrac{7}{3}}$

$\leadsto\mathtt{7(x+4) = 3(3x+4)}$

$\leadsto\mathtt{7x+28 = 9x+12}$

$\leadsto\mathtt{7x-9x = 12-28}$

$\leadsto\mathtt{-2x = -16}$

$\leadsto\mathtt{2x = 16}$

$\leadsto\tt{x = \dfrac{16}{2}}$

$\leadsto\boxed{\tt x = 8}$

$\large\mapsto\underline\mathtt\purple{Putting\:tge\:value:-}$

• Nikhil's age = x = 8 years
• Nikita's age = 3x = 3(8) = 24 years

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