Question

Ben thinks of a number. If he doubles ut and add 4 he gets the same answer as multiplying the number by 10 and subtracting 8

Whag was Bens number

Answer 1

Ben's number was
`(3)/(2)`.

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

`(8x)/(8)=(12)/(8)\\x=(3)/(2)`

Hence,

Ben's number was
`(3)/(2)`.