Answer:
Ben's number was [tex]\frac{3}{2}[/tex].
Step-by-step explanation:
Given that:
Ben thinks of a number.
Let,
x be that number.
According to given statement;
Double of number plus 4 is equals to number multiplied by 10 and subtracting 8.
2x + 4 = (x*10) - 8
2x + 4 = 10x - 8
4 + 8 = 10x - 2x
12 = 8x
8x = 12
Dividing both sides by 8
[tex]\frac{8x}{8}=\frac{12}{8}\\x=\frac{3}{2}[/tex]
Hence,
Ben's number was [tex]\frac{3}{2}[/tex].