Q4 of 33 Page 44

Five times a number is equal to three times the sum of the number and 4. What is the number?

Let the required number be x.

∴ Five times the number = 5x


Sum of the number and 4 = x + 4


∴ 3 times the sum of the number and four = 3(x + 4) = 3x + 3 × 4 = 3x + 12


Since, five times the number is equal to three times the sum of the number and 4


∴ 5x = 3x + 12


⇒ 5x-3x = 12


⇒ 2x = 12


⇒


⇒x = 6


Hence, the required number = 6


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