Question

Ratio of Ravi's age to Raju's age is equal to 4:3. Ravi will be 26 years old after 6 years. The present age of Raju is:
a)15 years
b)14 years
c)13 years
d)12 years​

Answer 1

Answer:

a)15 years

Step-by-step explanation:

Ravi will be 26 yrs old after 6 yrs then,

present age of Ravi is 20 yrs

let Raju's present age be x.

then 4:3 ::20:x

4/3=20/x

x=20*3/4

x=5*3

x=15

hence Raju's present age is 15 yrs

Answer 2

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

⠀⠀

• Ravi will be 26 years old after 6 years.

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Therefore,

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

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$:\implies\sf 4x + 6 = 26 \\\\\\:\implies\sf 4x = 26 - 6 \\\\\\:\implies\sf 4x = 20\\\\\\:\implies\sf x = \cancel\dfrac{20}{4}\\\\\\:\implies{\underline{\boxed{\frak{\purple{x = 5}}}}}\:\bigstar$

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❏ Hence, present ages:

• Ravi's age, 4x = 4(5) = 20 years
• Raju's age, 3x = 3(5) = 15 years

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\therefore\:{\underline{\sf{Hence, \: present \: age \: of \: Raju \: is\: \bf{Option \: a) \: 15 \: years}.}}}$