One-sixth of the smallest of three consecutive even integers is three less than one-tenth the sum of the
other even integers. Find the integers. this
#49 with work pleasee

The three even, consecutive integers are 72, 74, and 76.

Step-by-step explanation:

Let a be the first even integer.

Then the other two consecutive integers, b and c, will be represented by:

One-sixth of the smallest (that is, a) is three less than one-tenth the sum of the other two even integers (that is, b and c).

Therefore:

Solve for a. Substitute:

Simplify and solve for a:

Hence, the first even integer is 72.

Therefore, the two other consecutive even integers must be 74, and 76.

In conclusion, the three even, consecutive integers are 72, 74, and 76.

175

step-by-step explanation:

2 inches x 10 miles = 200 miles - 3 inches = 175