Question

Half of two third of a number is 90 then what is the number

Answer 1

Let the number be x

1/2 of 2/3 of x = 90

1/2 * 2/3 * x = 90

2x/6 = 90

2x = 540

x = 540/2

x = 270

the number is 270

Answer 2

Answer:

The number according to the question will be 270.

Step-by-step explanation:

Step 1:- Let us take the number "X",

Step 2:- According to the question,

⇒ Half of two third of a number is 90, which means

⇒ ( $\frac{1}{2}$ ) × ( $\frac{2}{3}$ ) × ( X ) = 90

⇒ ( $\frac{2}{6}$ ) × ( X ) = 90                 [ here we have multiplied $\frac{1}{2}$ and $\frac{2}{3}$, which gives $\frac{2}{6}$]

⇒ ( $\frac{x}{3}$ ) = 90                           [ here $\frac{2}{6}$ is canceled by 2 giving $\frac{1}{3}$ which when multiplied by X gave $\frac{x}{3}$ ]

⇒ X = 90 × 3

⇒ X = 270.

Hence the required number will be 270.

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