Question

Raju’ s father is 8 years older than twice

Raju's age. If his father’s age is 32 years, find raju's age​

Answer 1

❒ Let Raju's present age be x years.

$\underline{\boldsymbol{\bigstar{\;\; According\: to \:the\: Question :}}}$

⠀

• Raju’ s father is 8 years older than twice Raju's age.

⠀

So,

⠀

Raju's father age = 8 years older than twice Raju's age.

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• Raju's age = 8 + 2x

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And,

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• Raju's father's age is 32 years.

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Therefore,

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$:\implies\sf (8 + 2x) = 32 \\\\\\:\implies\sf 8 + 2x = 32 \\\\\\:\implies\sf 2x = 32 - 8\\\\\\:\implies\sf 2x = 24\\\\\\:\implies\sf x = \cancel\dfrac{24}{2}\\\\\\:\implies{\underline{\boxed{\frak{\pink{x = 12}}}}}\;\bigstar$

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Hence,

• Raju's age, x = 12 years.

⠀

$\therefore{\underline{\sf{Hence,\; Raju's\; present \; age \; is \; \bf{12 \; years }.}}}$

Answer 2

Given : Raju's father is 8 years older than twice Raju's age. Father's age is 32 years.

To Find : Raju's age.

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Let

$\:$

• Raju's age = k years

$\:$

Raju's father's age is 8 years older than twice Raju's age.

So,

• Raju's father's age = 2k + 8 years

$\:$

It is given that :

$\:$

• Raju's father's present age is 32 years.

$\:$

Now, according to question :

$\: \:$

$\tt:\implies \: 32 = 2k + 8 \\ \\ \\ \tt:\implies \: 2k = 32 - 8 \\ \\ \\ \tt:\implies \: 2k = 24 \\ \\ \\ \tt:\implies \: k =\cancel \frac{24}{2} \\ \\ \\ \tt:\implies \: k = \underline{\boxed{\tt\purple{12 }}}\bigstar$

$\: \:$

$\tt\therefore{\underline{Hence, \: the \: present \: age \: of \: Raju \: is \: \bold{12} \: years}}$