Question

There are two numbers. one number is twice the other number. the difference of the smaller number and half the larger number is 20. an equation created to find teh smaller number will have no solution one solution or infinitely many solutions

Answer 1

Let's assume x be the number.

Given that, one number is twice the other number. Hence, the second number be 2x.

So, x= smaller number and 2x= larger number.

Given that, difference of x and half of 2x is 20. Hence,

$\frac{1}{2} (2x)-x=20$

x-x=20 (By simplifying)

0=20

From the above result we can see that x has vanish and we are left with 0=20 which is mathematically not correct.

Hence, there is no solution.