Question

The equation for the statement;”Half of a number added to 10 is 15” is_________
    $\mathrm A.\;\dfrac{\mathrm x}2=10+5\\\mathrm B.\;\dfrac{\mathrm x}2+10=15\\\mathrm C.\;\dfrac{\mathrm x}2+15=5\\\mathrm D.\;\dfrac{\mathrm x}2=10+15$

Answer 1

Hint: In such types of questions, look for clues in the expression. For example, “a number” means that it is a reference to a variable. Similarly, “is” means that it is implying an “equal to” symbol. We will look for these clues, form the equation and match the final equation with the given options.

Complete step by step answer:
It is given that ”Half of a number added to 10 is 15”,
Assuming the number as x, it says that half of the number is added to 10. So we will divide the variable by 2, and then add it to the number 10, which is-
$\dfrac{\mathrm x}2+10$
It is also said that this expression is equal to 15. So we will equate the above expression to 15 as-
$\dfrac{\mathrm x}2+10=15$
This is the required equation.

Hence, the correct answer is B. $\dfrac{\mathrm x}2+10=15$

Note: Sometimes, the final answer obtained is not given directly in the options. In such cases simplify the equation obtained and then try to find the correct option. For example, in the above question, x = 10 can also be an option which is correct. A common mistake is that students may exchange the terms 10 and 15 to get the wrong answer.