Question

if 21 is added to a number the result is 40 less than twice the number what is the number?

Answer 1

If 21 is added to (+ 21) a number (x) the result (=) is 40 less than (- 40) twice the number (2x)

x + 21 = 2x - 40   Add 40 to both sides
x + 61 = 2x           Subtract x from both sides
      61 = x             Switch the sides to make it easier to read
       x = 61

Answer 2

The value of the number in question is 61.

• Let the number be p
• 21 added to the number : 21 + p
• Result : 40 - 2p

Expressing as a complete equation :

• 21 + p = 2p - 40
• Collect like terms
• 21 + 40 = 2p - p
• 61 = p

Therefore, the Number, p is 61, since the value of the number is denoted as p

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