Question

sheela thought number and subtracted 5/2 from it. she multiplied the result by 8. now the product 3 times the same numbers she thought of. what is the number.​

Answer 1

Given :

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• Sheela thought a number and subtracted 5/2 from it & she multiplied the result by 8, then the product is 3 times the same number she thought.

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To find :

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• The number she thought.

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Solution :

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★ Let the number which Sheela thought be x.

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• According to the question,

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– She subtracted 5/2 from the number.

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$:\implies\sf{\dfrac{5}{2}-\dfrac{x}{1}}$

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• Taking LCM,

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$:\implies\sf{\dfrac{5-2x}{2}}$

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$:\implies\sf{\dfrac{3x}{2}}$

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– She multiplied the result by 8.

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$:\implies\sf{\dfrac{3x}{\cancel{2}}\times\cancel{8}}$

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– Now, the product is 3 times the same number she thought.

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$:\implies\sf{12x=3x}$

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$:\implies\sf{\cancel{\dfrac{12}{3}}=x}$

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$:\implies\underline{\boxed{\textsf{\textbf{x\;=\;4}}}}$

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•°• The number which Sheela thought is 4 .

Answer 2

Answer:

Lets assume the number to be x.

First, lets break the question step-by-step for easy understanding.

Step 1: 5/2 is subtracted from x.

Step 2: The answer in Step 1 is multiplied by 8.

Step 3: The answer derived in Step 2 is 3 times of x.

Hence, the equation could be formed as follows:

(x-5/2)*8=3x

(2x-5)*4=3x

8x-20=3x

8x-3x=20

5x=20

x=20/5

x=4

Therefore, the number is 4.

Hope this helps. Thank you!