Question

Racky mother is 4 times as old as racky after 5yrs her mom will be 3 times as old as old she will be then. Find their present age​

Answer 1

Given: Racky's Mother is four times as old as Racky. After five years, her mom will be three times as old as she will be then.

Need to find: Their present ages?

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» Let's say, that the present age of Racky be x years. Then, her mother's age would be 4x years.

• F r o m⠀G i v e n⠀C o n d i t i o n :

• After five years, her mom will be three times as old as she will be then. Therefore,

» After five years, their ages —

• Racky's age = (x + 5)
• Mother's age = (4x + 5)

↠ Mother's age = 3(Racky's age)

↠ (4x + 5) = 3(x + 5)

↠ 4x + 5 = 3x + 15

↠ 4x – 3x = 15 – 5

↠ x = 10

Therefore,

• Present age of Racky, x = 10 years
• Present age of Racky's Mother, 4(x) = 4(10) = 40 years.

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∴ Hence, the present age of Racky and Her mother is 10 years & 40 years respectively$.$

Answer 2

Answer ::

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$\purple{\bigstar}\:\sf Present\:age\:of\:Racky\:\leadsto\:\boxed{\textit{\textbf{\red{10\:years}}}}$

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$\purple{\bigstar}\:\sf Present\:age\:of\:Racky's\:mother\:\leadsto\:\boxed{\textit{\textbf{\red{40\:years}}}}$

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Explanation ::

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$\red{\bigstar}$ G I V E N

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• Racky mother is 4 times as old as racky.

• After 5 years her mom will be 3 times as old as old she will be then.

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$\orange{\bigstar}$ T OㅤF I N D

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• Present ages of Racky and her mother ?

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$\blue{\bigstar}$ S O L U T I O N

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• Firstly, let us consider that Racky's age be m years. So, her mom's age is 4m years.

• After 5 years Racky's age is (m + 5) years and her mother's age is (4m + 5) years.

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$\underline{\sf{\bigstar\:According\:to\:the\:given\:Question\:::}}$

$\\ \dashrightarrow\:\sf 3\big(Age\:of\:Racky\big) = Age\:of\:her\:Mother$

$\\ \dashrightarrow\:\sf 3\big(m + 5\big) = 4m + 5$

$\\ \dashrightarrow\:\sf \big(3\:\times\:m\big) + \big(3\:\times\:5\big) = 4m + 5$

$\\ \dashrightarrow\:\sf 3m + 15 = 4m + 5$

$\\ \dashrightarrow\:\sf 15 - 5 = 4m - 3m$

$\\ \dashrightarrow\:\boxed{\bf{\pink{m = 10}}}\:\green{\bigstar}$

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✇ Finding their present ages ::

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★ Present age of Racky ::

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➝ m = 10 years

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★ Present age of Racky's mother ::

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➝ 4m = 4 × 10 = 40 years

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• Therefore, Present ages of Racky and her mother are 10 years and 40 years.

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$\red{\bigstar}$ Learn more on brainly ::

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★ Question ::

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Baichung's father is 26 years younger than Baichung's grandfather and 29 year older than Baichung. the sum of the age of all the three is 135 years. what is the age of each one of them?

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★ Answer ::

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https://brainly.in/question/42015794

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