Video Transcript
The age of a man is multiplied by
100 and then the product is added to 65. If the result is 3965, how old is
the man?
We can begin this question by
letting the age of the man be 𝑎 years. We are told that this number is
multiplied by 100. This can be written as 100𝑎. The product is then added to
65. So, we have 65 plus 100𝑎 or 100𝑎
plus 65. As the result of this is 3965, we
can write the equation 100𝑎 plus 65 is equal to 3965. This equation can now be solved
using the balancing method and the inverse operations.
We begin by subtracting 65 from
both sides of the equation. On the left-hand side, we are left
with 100𝑎. On the right-hand side, we have
3900. Our next step is to divide both
sides by 100 as division is the inverse or opposite of multiplication. When dividing by 100, all of our
digits move two places to the right, so 𝑎 is equal to 39.
We can, therefore, conclude that
the age of the man is 39 years. We can check this answer by
substituting it back in to the initial equation. 100 multiplied by 39 plus 65 is
equal to 3965. Therefore, our answer is
correct.
