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in Linear Equations by (41.5k points)
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Eight times of a number reduced by 10 is equal to the sum of six times the number and 4. Find the number.

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Best answer

Let the number be ‘x’ say. 

8 times of a number = 8 × x = 8x 

If 10 is reduced from 8x then 8x – 0 

6 times of a number = 6 × x = 6x

If 4 is added to 6x then 6x + 4 

According to the sum, 

8x – 10 = 6x + 4 

⇒ 8x – 6x = 4 + 10 

⇒ 2x = 14

⇒ x = 7 

∴ The required number = 7

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