QuestionKevin's age plus his age next year equals 69. How old will he be in 16 years?

Studdy Solution

STEP 1

Assumptions1. Kevin's current age and the age he will be next year add up to69 years. . We need to find out Kevin's age16 years from today.

STEP 2

Let's denote Kevin's current age as x. According to the problem, Kevin's age next year will be x +1. The sum of these two ages is given as69 years. We can write this as an equation $x + (x +1) =69$

STEP 3

implify the equation by combining like terms.
$2x +1 =69$

STEP 4

Next, we need to isolate x. We can do this by subtracting1 from both sides of the equation.
$2x =69 -1$

STEP 5

Calculate the right side of the equation.
$2x =68$

STEP 6

To solve for x, divide both sides of the equation by2.
$x =68 /2$

STEP 7

Calculate the value of x.
$x =34$ So, Kevin is currently34 years old.

STEP 8

Now that we know Kevin's current age, we can find out his age16 years from today by adding16 to his current age.
$Age\,16\, years\, from\, today = Current\, age +16$

STEP 9

Plug in the values for current age and16 years to calculate Kevin's age16 years from today.
$Age\,16\, years\, from\, today =34 +16$

STEP 10

Calculate Kevin's age16 years from today.
$Age\,16\, years\, from\, today =34 +16 =50$ Kevin will be50 years old16 years from today.

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