Math, asked by khemrajb986, 3 months ago

age of rohit is more than twice of pradeep age 6 years ago ,age of pradeep was 1/3 of rohot age.find their ages.reply fast guyzzz​

Answers

Answered by EliteZeal
143

Correct Question

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Age of rohit is 5 more than twice the age of pradeep .6 year ago age of pradeep was 1/3 of rohit's age. Find their age .

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A n s w e r

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G i v e n

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  • Age of rohit is 5 more than twice the age of pradeep

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  • 6 years ago, age of pradeep was 1/3 of rohot's age

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F i n d

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  • Their present ages

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S o l u t i o n

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Let the present age of Rohit be "R"

Let the present age of Pradeep be "P"

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Given that , rohit is 5 more than twice the age of pradeep

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So,

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➜ R = 2P + 5 ⚊⚊⚊⚊ ⓵

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 \underline{\bold{\texttt{Rohit's age 6 years ago :}}}

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➠ R - 6

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 \underline{\bold{\texttt{Pradeep's age 6 years ago :}}}

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➠ P - 6

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Also given that , 6 years ago, age of pradeep was 1/3 of rohit's age

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So,

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➜ R - 6 = 3(P - 6)

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➜ R - 6 = 3P - 18

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➜ R = 3P - 18 + 6

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➜ R = 3P - 12 ⚊⚊⚊⚊ ⓶

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Putting R = 2P + 5 from ⓵ to ⓶

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➜ R = 3P - 12

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➜ 2P + 5 = 3P - 12

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➜ 3P - 2P = 5 + 12

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➨ P = 17 ⚊⚊⚊⚊ ⓷

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  • Hence the present age of Pradeep is 17 years

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Putting P = 17 from ⓷ to ⓵

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➜ R = 2P + 5

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➜ R = 2(17) + 5

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➜ R = 34 + 5

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➨ R = 39

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  • Hence present age of Rohit is 39 years

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