Question

Simmi's mother is 28 years older than
Simmi. Simmi's mother is 4 years younger
than Simmi's father. Their total age is 84
years. The age of Simmi's mother is​

Answer 1

Simmi's mother is 28 years older than Simmi.

Simmi's mother is 4 years younger than Simmi's father.

Their total age is 84 years.

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We have to find, age of simmi's mother.

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☯ Let Present age of simmi be x years.

☯ Therefore, Present age of simmi's mother is 28 + x years.

☯ Present age of simmi's father is x + 28 + 4 years

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

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$:\implies\sf x + 28 + x + x + 28 + 4 = 84$

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$:\implies\sf 3x + 60 = 84$

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$:\implies\sf 3x = 84 - 60$

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$:\implies\sf 3x = 24$

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$:\implies\sf x = \cancel{ \dfrac{24}{3}}$

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$:\implies{\underline{\boxed{\sf{\purple{x = 8}}}}}\;\bigstar$

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Therefore,

• Simmi's age, x = 8 years

• Simmi's mother age, 28 + x = 28 + 8 = 36 years

• Simmi's father age, 28 + x + 4 = 28 + 8 + 4 = 40 years

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$\therefore$ Age of simmi's mother is 36 years.

Answer 2

$\huge{ \boxed{ \tt{Solution:) }}}$

Given ,

• Simmi's mother is 28 years older than Simmi

• Simmi's mother is 4 years younger than Simmi's father

• Their total age is 84 years

Let ,

The age of Simmi be " x "

Then , Simmi's mother age = x + 28

Simmi's father age = x + 28 + 4

According to the question ,

x + x + 28 + x + 28 + 4 = 84

3x + 60 = 84

3x = 24

x = 24/3

x = 8

Therefore , the present age of simmi's mother is 36 years

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