Question

1).One half of number is equal to one third of its succeeding number.Find the first number.

Answer 1

Let the first number be x

1/2 of x = 1/3 of (x+1)
$\frac{x}{2} = \frac{x+1}{3}$
Cross Multiplication
3x      = 2(x+1)
3x      = 2x+2
3x-2x = 2
x        = 2

Therefore, first number = 2

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Answer 2

Answer:

Let the number be x Hence the succeeding number is (x + 1) 0ne half of the first number is (x/2) One third of the succeeding number is (x + 1)/3 Given (x / 2) = (x+1) / 3 ⇒ 3x = 2(x + 1) ⇒ 3x = 2x + 2 ⇒ 3x − 2x = 2 ∴ x = 2 Hence the first number is 2.

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