Question

The ages of Raju and Ravi are in the ratio 3:4 .Four years from now the ratio of their ages will be 4:5

Answer 1

Answer:

Given: Ratio of Ravi's age to Raju's age is equal to 4:3.

❏ Let the Ravi's present age be 4x and Raju's present age be 3x.

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⠀⠀\underline{\boldsymbol{According\: to \:the\: Question :}}AccordingtotheQuestion: ⠀

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Ravi will be 26 years old after 6 years.

Therefore,

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Ravi's age 6 years from now will be 4x + 6.

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\begin{gathered}:\implies\sf 4x + 6 = 26 \\\\\\:\implies\sf 4x = 26 - 6 \\\\\\:\implies\sf 4x = 20\\\\\\:\implies\sf x = \cancel\dfrac{20}{4}\\\\\\:\implies{\underline{\boxed{\frak{\purple{x = 5}}}}}\:\bigstar\end{gathered}:⟹4x+6=26:⟹4x=26−6:⟹4x=20:⟹x=420:⟹x=5★