Question

If 3/5 ᵗʰ of a number is 4 more than 1/2 the number, then what is the number?

Answer 1

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Question -

Answer - Let the number be x, then 3/5 ᵗʰ of the number = 3x/5

Also, 1/2 of the number = x/2

According to the question,

3/5 th of the number is 4 more than 1/2 of the number.

⇒ 3x/5 - x/2 = 4

⇒ (6x - 5x)/10 = 4

⇒ x/10 = 4

⇒ x = 40

The required number is 40.

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Answer 2

The given question is If 3/5 ᵗʰ of a number is 4 more than 1/2 the number,

we have to find what is the number.

let the number be y.

The 3/5 of the number is defined as

$\frac{3}{5} y$

the 1/2 of the number is

$\frac{1}{2} y$

The given statement is that 3/5 of the number is 4 more than 1/2 of that number.

The expression for the given statement is

$\frac{3}{5} y = 4 + \frac{1}{2} y$

on taking the like terms on the same side we get,

$\frac{3}{5} y - \frac{1}{2} y = 4$

Taking LCM and simplifying the terms we get,

The LCM will be 10. Therefore the expression will become

$\frac{6y - 5y}{10} = 4 \\ \frac{y}{10} = 4$

The value in the denominator on the left side will move on to the numerator on the left side.

$y = 10 \times 4 = 40$

Therefore, the final answer is 40.

If 3/5 ᵗʰ of a number is 4 more than 1/2 the number, then the number is 40.

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