Question

the ratio of present age of father and son is 5:3 the difference between their ages is 30years.find the present age.​

Answer 1

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

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

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• Father's present age = 75 years
• Son's present age = 45 years

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

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• Ratio of present age of father and son is 5:3 and the difference between their ages is 30 years.f

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

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• Father's present age = ?
• Son's present age = ?

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

Let,

• Present age of father = 5y years
• Present age of son's = 3y years

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

• The difference between father and son's age = 30 years

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

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$\longrightarrow \sf {5y - 3y = 30}$

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$\longrightarrow \sf {2y = 30}$

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$\longrightarrow \sf {y = \cancel\dfrac{30}{2} }$

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$\longrightarrow \sf {y = 15}$

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

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• Father's present age = 5 × 15
• Father's present age = 75 years

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• Son's present age = 3 × 15
• Son's present age = 45 years

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$\rule{200}{2}$

Answer 2

Answer:

the ratio of ages = 5:3

let them = 5x and 3x

acc. to ques. =

5x - 3x = 30

2x = 30

x = 30/2

x = 15

Hence, their present ages are :-

5x = 5(15)

= 75 years

3x = 3(15)

= 45 years

Step-by-step explanation:

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