Find three consecutive odd integers such that the sun of the largest and twice the smallest is 25

Let's call the our odd numbers , , and , in ascending order. It can be said then that (It is the next odd number after ) and (It is the second consecutive number after ).

Additionally, we can say:

Now, how about we substiute in the value for we found in the first paragraph for in the preceeding equation? This gives us:

We have found that the smallest number is 7. Substituting this into the equations we found in the first paragraph, we find:

The numbers are 7, 9, and 11.

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: