Question

Eight times of a number reduced by 10 is equal to the sum of six times the number and 4. Find the number.

Answer 1

Hint: In the above given question, we have to formulate an equation by using the conditions being provided. Simply, place the terms according to the conditions given in the question and then equate them to obtain the value of the required variable.

Complete step-by-step answer:
Let us assume a number $x$.

In the question, we are given the first condition as, eight times $x$ reduced by 10 that is, \[8x - 10\].

And the second condition is the sum of six times $x$ and 4, that is\[6x + 4\].

Now, it is given that, both the equations formed above are equal to each other, therefore, we get

\[8x - 10 = 6x + 4\]

\[ \Rightarrow 8x - 6x = 10 + 4\]

\[ \Rightarrow 2x = 14\]

$ \Rightarrow x = \dfrac{{14}}{2}$

$\therefore x = 7$.

Hence, the required number is 7.

Note: When we face such a type of problem, the required solution can be obtained by manipulating the equations so formed with the help of the given conditions. The obtained solution can be verified as well by substituting the value of the variable in the equations.