Question

miraj mother is four times as old as mirror after 5 years her mother will be three times as old as she will be then what are their present age solve the application simultaneous equation​

Answer 1

Appropriate Question:

• Miraj Mother is four times as old as Miraj. After five years, her mother will be three times as old as she will be then what are their present ages.

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

Need to find: The present age of Miraj & Mother?

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❍ Let's Consider that Miraj age be x years. Then Miraj's mother age be 4x years.

¤ & After five years,

• Miraj's age = (x + 5) years
• Mothers age = (4x + 5) years

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$\underline{\bigstar\:{\boldsymbol{As\; per\:the\;given\; Condition\;:}}}$

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• As per given Condition, After five years Miraj Mother will be three times as old as she will be then. Now, Let's Solve the Question —

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$:\implies\sf Mother's\:age = 3\Big\{Miraj's\;age\Big\}\\\\\\:\implies\sf 4x + 5 = 3 \Big\{x + 5\Big\}\\\\\\:\implies\sf 4x + 5 = 3x + 15\\\\\\:\implies\sf 4x - 3x = 15 - 5\\\\\\:\implies\underline{\boxed{\pmb{\frak{\purple{x = 10}}}}}\;\bigstar$

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Therefore,

• Miraj's age = 10 years.
• Miraj's mother's age = 4(10) = 40 years.

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∴ Hence, the present age of Miraj is 10 years and present of Miraj's mother is 40 years respectively. :)

Answer 2

Correct Question:

Miraj Mother is four times as old as Miraj. After five years, her mother will be three times as old as she will be then,Find their present ages.

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Given:

☆Miraj's Mother is four times as old as Miraj.

☆After five years, her mother will be three times older than Miraj

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Solution:

Let's

Present age of Miraj be = x years

As Miraj's Mother four time old as Miraj

So,

Miraj's mother's age must be = 4x years.

After five years,

Miraj's age will be = (x + 5) years

Mothers age will be = (4x + 5) years

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$\mathfrak{ \text{A}ccording\; to\:the\;given\; Condition}$

$\bf (4x + 5) = 3(x + 5) \\ \\ \sf4x + 5 = 3x + 15 \\ \\ \sf 4x - 3x = 15 - 5 \\ \\ \sf \red{ \boxed{ \boxed{ \bf x = 10 }}}$

So,

Miraj's Present age = x = 10 years.

Miraj's mother's Present age = 4(x) = 4(10) = 40 years.

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