Question

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

Answer 1

Answer:

40

Step-by-step explanation:

3/5 x= 1/2 x+4

3/5 x - 1/2 x= 4

Now solve the fractional expression

3/5 - 1/2 lcm of 5,2= 10

3×2 - 1×5/ 10= 6-5/10

= 1/10

1/10 x= 4

Multiply both sides with 10 to remove denominator

10×1/10 x= 4×10

1x=40

x= 40/1

x= 40

Therefore, the number is 40

Answer 2

Given:

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

To find:

The number.

Solution:

The number is 40.

To find the answer, we will do the following steps:

Let the required number be x.

Now,

According to the question, we have,

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

Now, we will take the LCM of the numbers that are in the denominator i.e. 5 and 2.

The LCM of 5 and 2 is 10.

So, on multiplying both sides by 10, we get

$6x = 5x + 40$

Now, on subtracting '5x' on both sides, we get

$x = 40$

Hence, the required number is 40.