Math, asked by BrainliestQuestion, 15 days ago

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


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Answers

Answered by nature50
3

Answer:

Answer is below

Step-by-step explanation:

Let racky age = X

Racky mother s age 4X

After 5 years

Racky s age = X+5

Racky s mother age = 4X+5

X+5 + 4X+5 = 3X+5

5X+10 = 3X + 5

5X-3X = 5-10

2X = -5

X = -2/5

therefore, racky s age is -2/5

Racky mother s age = 4X

= 4× -2/5

= 4/1 × -2/5

= 4×-2/5×1

= -8/5

Answered by misscuteangel
26

Answer ::

 \:

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

 \:

 \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} \sf \:  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} \: \sf T \: O \:  \:  \: F \: I \: N \: D

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  • Present ages of Racky and her mother ?

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 \blue{ \bigstar} \sf \:  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} \sf \:  learn \: more \: on \: brainly : :

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★ Question ::

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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

Don't spam. ...

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★ Answer given by ::

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https://brainly.in/app/profile/20554440/answers

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