Question

Twenty less than four times an mover is twenty one what is the number

Answer 1

x = 10.25

Explanation:

Given that,

→ Twenty less than four times a number is twenty one.

The equation we form,

→ 4x - 20 = 21

Now the value of x will be,

→ 4x - 20 = 21

→ 4x = 21 + 20

→ x = 41/4

→ [ x = 10.25 ]

Hence, the number is 10.25.

Answer 2

10.25

Explanation:

Define the variable

Let x be the unknown number.

Therefore:

`\begin{aligned}& \textsf{Four times a number}: \quad & 4x\\& \textsf{Twenty less than four times a number}: \quad & 4x-20\\& \textsf{Twenty less than four times a number is twenty one}: \quad & 4x-20=21\end{aligned}`

To find the number, solve the found equation for x:

`\begin{aligned}\implies 4x-20&=21\\4x-20+20&=21+20\\4x&=41\\(4x)/(4)&=(41)/(4)\\x&=10.25\end{aligned}`

Therefore, the unknown number is 10.25.

As an improper fraction, this is ⁴¹/₄.

As a mixed number, this is 10 ¹/₄.