Question

Vikas is three years older than Deepika. Six years ago, Vikas's age was four times Deepika's age. Find the age of Deepika and Vikas.​

Answer 1

Answer:

hope it helps

Step-by-step explanation:

Let deepika age be x years

Vikas age = x + 3

6 years ago:

Deepika age = x - 6

Vikas age = x+3-6 = x-3

As per the question, vikas age is 4 times the deepika age

x - 3 =  4(x-6)

x-3 = 4x - 24

3x = 21

x = 7

Deepika age = 7 yrs

Vikas age = 7+3 = 10yrs

Answer 2

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$\huge{\underline{\underline{\sf{\blue{SOLUTION:-}}}}}$

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$\sf{\underline{\green{AnswEr:-}}}$

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• The present age of Deepika = 7 years
• The present age of Vikas = 10 years

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$\sf{\underline{\green{Given:-}}}$

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• Vikas is three years older than Deepika. Six years ago, Vikas's age was four times Deepika's age.

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$\sf{\underline{\green{Find:-}}}$

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• The present age of Deepika = ?
• The present age of Vikas = ?

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$\sf{\underline{\green{Explanation:-}}}$

Let the age of Deepika be y.

$\sf{\underline\pink{Then:-}}$

• Age of Vikas = y + 3

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$\sf{\underline\pink{A.T.Q:-}}$

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$\longrightarrow \sf {4(y - 6) = y + 3 - 6}$

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$\longrightarrow \sf {4y - 24 = y - 3}$

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$\longrightarrow \sf {4y - y = 24 - 3}$

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$\longrightarrow \sf {3y = 21}$

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$\longrightarrow \sf {y = \cancel\dfrac{21}{3} }$

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$\longrightarrow \sf {y = 7}$

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$\:\:\:\:\dag\bf{\underline{\underline \red{Hence:-}}}$

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• Present age of Deepika = 7 years

• Present age of Vikas = 7 + 3
• Present age of Vikas = 10 years

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$\rule{200}{2}$