Question

The sum of ages of Mohit and his father is 45
years. If 9 is added to three times the age of
Mohit, the sum is equal to the present age of
his father. What is Mohit's present age?​

Answer 1

Step-by-step explanation:

i think it will help you ...........

Answer 2

Given that,

• If 9 is added to three times the age of Mohit, the sum is equal to the present age of his father.

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So, Let's consider the Present age of Mohit be x years.

Then, The Present age of his father will be (3x + 9) years.

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$\underline{\bigstar\:\boldsymbol{According\:to\:the\:question\::}}$

• The sum of ages of Mohit and his father is 45 years.

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$:\implies\sf x + (3x + 9) = 45\\ \\ \\:\implies\sf 4x + 9 = 45\\ \\ \\ :\implies\sf 4x = 45 - 9\\ \\ \\ :\implies\sf 4x = 36\\ \\ \\ :\implies\sf x = \cancel{ \dfrac{36}{4}}\\ \\ \\ :\implies{\underline{\boxed{\frak{\purple{x = 9}}}}}\;\bigstar$

Therefore,

• Present age of Mohit = 9 years
• Present age of Father, (3x + 9) = 27 + 9 = 36 years

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$\therefore\:{\underline{\sf{Present\:age\:of\:Mohit\:is\: {\textsf{\textbf{9\:years}}}.}}}$

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$\qquad\qquad\quad\boxed{\underline{\underline{\pink{\bigstar \: \bf\: Verification\:\bigstar}}}}$

Given that,

• The sum of ages of Mohit and his father is 45 years.

⠀⠀⠀⠀

$:\implies\sf Age\:of\:Mohit + Age\:of\:Mohit's\:Father = 45\\ \\ \\ :\implies\sf 9 + 36 = 45\\ \\ \\:\implies\sf 45 = 45$

$\qquad\qquad\qquad\qquad\dag\:{\underline{\underline{\sf{\purple{Hence\: Verified!}}}}}$