The ages of Abu, Segun, Kofi and Funmi are 17 years, (2x -13) years, 14 years and 16 years respectively. What is the value of x if their mean ages is 17.5 years?

Hayat00

2 years ago

To find the value of x, we need to determine the expression for the mean age and then solve for x. The mean is calculated by summing the ages and dividing by the number of people. In this case, we have four people, so:

Mean age = (17 + (2x - 13) + 14 + 16) / 4

We can simplify this expression by combining like terms:

Mean age = (47 + 2x - 13) / 4

Now we can set the mean age equal to 17.5 and solve for x:

17.5 = (47 + 2x - 13) / 4

Next, we can multiply both sides of the equation by 4 to eliminate the denominator:

4 * 17.5 = 47 + 2x - 13

70 = 47 + 2x - 13

Combine like terms:

70 = 34 + 2x

Subtract 34 from both sides:

70 - 34 = 2x

36 = 2x

Finally, divide both sides by 2 to isolate x:

x = 36 / 2

x = 18

Therefore, the value of x is 18.