The number is 5/2.
Step-by-step explanation:
If two-fifths of a certain number is subtracted from twice the number, the result is 4. Find the number.
The number: x
Minuend: 2x ⇒ (From where the number is subtracted)
Subtrahend: (2/5)x ⇒ (The expression subtracted or taken away from minuend)
Equation:
2x - (2/5)x = 4
LCD: 5
Multiply each term by 5:
(5) [2x - (2/5)x = 4] (5)
10x - 2x = 20
8x = 20
8x/8 = 20/8
x = 5/2 The number is 5/2.
Check:
2(5/2) - (2/5)(5/2) = 4
5 - 1 = 4
4 = 4 (True)
