Question

8. After 32 years, Ateek will be 5 times as old as he was 8 years ago. How old is Ateet
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Answer 1

Given:

After 32 years, Ateek will be 5 times as old as he was 8 years ago.

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To find:

Ateek's present age.

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Solution:

We are given that after 32 years, Ateek will be 5 times as old as he was 8 years ago.

$\bigstar {\sf {\pink {Let\ Ateek's\ present\ age\ be\ x\ years.}}}$

Ateek's age 8 years ago = (x-8) years

Ateek's age after 32 years = (32+x) years or 5(x-8)

So, the equation formed is:

⇒ 5(x-8) = 32+x

⇒ 5x-40 = 32+x

⇒ 5x-x = 32+40

⇒ 4x = 72

⇒ $\sf x = \dfrac {72}{4}$

⇒ $\boxed {\bf {\red {x=18}}}$

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Verification:

On substituting the value of x as 18 in the equation,

⇒ 5(x-8) = 32+x

⇒ 5(18-8) = 32+18

⇒ 5×10 = 50

⇒ 50 = 50

LHS = RHS

Hence Verified!

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Final answer:

$\boxed {\sf {\orange {Ateek's\ present\ age\ is\ 18\ years.}}}$