In the ambrose family the ages of the three children are three consecutive even integers. if the age of the youngest child is represented by x + 3 write an eaqation to represent the oldest child. if the sum of the ages is 42 write an equation and solve for x. how old is the oldest child

The ages are consecutive even numbers.

The youngest child is (x+3) years old.

Every even number is 2 more than the one before it.

So the three ages are

(x + 3), (x + 5), and (x + 7).

Their sum is x+3 + x+5 + x+7 = 3x + 15

But we're told that their sum is 42, so we can write

3x + 15 = 42 < = = the equation

Subtract 15 from each side: 3x = 27

Divide each side by 3 : x = 9 < = = the solution

So the three ages are 12, 14, and 16.

The oldest child is 16 years old.