Question

In 5 years time, Reshma will be three times old as she was 9 years ago. How old is she now?​

Answer 1

Let the present age of Rashma be x years.

• Rashma's age, after five years = (x + 5)
• Rashma's age, before nine years = (x - 9)

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A/Q,

• In five years time, Reshma will be three times old as she was nine years ago.

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Making equation,

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Therefore,

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$:\implies\sf x + 5 = 3(x - 9) \\\\\\:\implies\sf x + 5 = 3x - 27 \\\\\\:\implies\sf x - 3x = -27 - 5\\\\\\:\implies\sf \cancel{\;-}\; 2x = \cancel{\;-} \; 32\\\\\\:\implies\sf 2x = 32\\\\\\:\implies\sf x = \cancel\dfrac{32}{2}\\\\\\:\implies{\underline{\boxed{\frak{x = 16}}}}\;\bigstar$

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Hence,

• Rashma's age, x = 16 years.

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$\therefore{\underline{\sf{Hence,\; Rashma's\; present\; age \; is\; \bf{ 16\;years}.}}}$

Answer 2

${\large{\bold{\rm{\underline{Given \; that}}}}}$

★ In 5 years time, Reshma will be three times old as she was 9 years ago.

${\large{\bold{\rm{\underline{To \; find}}}}}$

★ How many old in year's she is now in short find her present age.

${\large{\bold{\rm{\underline{Solution}}}}}$

★ Her present age = 16 years

${\large{\bold{\rm{\underline{Assumption}}}}}$

★ Let Reshma's present age be a.

${\large{\bold{\rm{\underline{Full \; solution}}}}}$

~ As it's already given that 5 years time, Reshma will be three times old as she was 9 years ago..! Means,

✯ Reshma's age after 5 years = (a+5)

✯ Reshma's age before 9 years = (a+9)

~ So according to the above information the formed equation is,

➝ (a+5) = 3(a-9)

➝ (a+5) = 3a - 27

➝ a+5 = 3a - 27

➝ 1a - 3a = -27 -5

➝ -2a = -32

➝ 2a = 32

➝ a = 32/2

➝ a = 16

• Henceforth, the value of a is 16 and we take her present age as a that's why her present age is 16 years..!