Question

If 10 + x is 5 more than 10, what is the value of 2x?
(a) -5
(b) 5
(c) 10
(d) 25

Answer 1

Hint:Form the mathematical equation with the help of given information in the problem in words i.e. convert the word problem to mathematical equation. Get the value of x by forming an equation by simplifying it. Find the value of 2x by multiplying the value of x $\to $2.

Complete step-by-step answer:
Here, we have to determine the value of 2x, if the value of 10 + x $\to $5 is more than 10. So, let us write the equation in terms of x, with the help of given
Statement: As, 10 + x $\to $ 5 more than 10, it means the relation can be given as
10 + x = 10 + 5
Now, we can add the terms in right hand side of the above equation and get the value of
10 + 5 $\to $15. So, replacing 10 + 5 $\to $ 15, we get the above equation as
10 + x = 15
Now, we can subtract 10 from both the sides of the above equation.
So, we get
10 + x – 10 = 15 – 10
Now, we can rewrite the above equation as
10 – 10 + x = 15 – 10
Here, 10 is cancelled out by – 10 in the left hand side of the above equation and can replace
15 – 10 $\to $5 in the above equation. So, we get
x = 5……………. (i)
hence, the value of x $\to $5 from the given conditions of the problem.
Now, we can calculate the value of 2x by multiplying the equation (i) by 2 to both sides. Hence, we get
$2x=2\times 5,$ 2x = 10
Hence, value of 2x $\to $ 10. So, option (c) is correct.

Note: One may directly multiply the equation 10 + x = 15 $\to $2 to get a value of 2x as well.
One may go wrong if he/she forms the equation as x + 10 + 5 = 10, by the given information in the problem. So, take care while converting any word problem to a mathematical equation.