Question

Two thirds of a number is 40. What
is the number?​

Answer 1

Answer:

Remember that “of” means you multiply, so 2/3 “of” the number = 40 would be written as

(2/3) * x = 40

Mutiply both sides by the inverse of 2/3, which is 3/2:

(2/3)(3/2)x = 40

x = 120/2

Reduce, with a GCF of 2:

x = 60

Substitute for x in the original equation to prove this:

2/3 * x = 40

x = 60

2/3 * 60 = 40

120/3 = 40

Reduce the fraction; the GCF is 3:

40 = 40

So x = 60

Onto the second part of your question!

You were asking what is 2/5 of the number. Remember we set the number equal to “x”, and found out that x = 60. We also confirmed that “of” means multiplication.

The resulting equation would look like this:

2/5 * 60 = 24

120/5 = 24

24 = 24

So the number, x, is 60; 2/3 of x is 40, and 2/5 of x is 24.

Step-by-step explanation:

Answer 2

Answer:

The required number is 60.

Step-by-step explanation:

Let the number be x

given 2/3 of a number = 40

Remember that “of” means you multiply, so 2/3 “of” the number = 40 would be written as

(2/3) * x = 40

2x = 40×3

x = 60

therefore the required number is 60.

Proof

2/3 × 60 = 40

120/3=40

40=40

therefore LHS = RHS