Math is hard help Consecutive Interger Linear Problems

Question

Magan is younger than Claire. Their ages are consecutive integers. Find Magan's age if the sum of Magan's age and 2 times Claire's age is 26.

Answer 1

Consecutive integers are one apart.

For example:

5,,6

6,7

10,11

If x represents the younger, then x + 1 represents the older.

x = Magan's current age

x+1 = Claire's current age

2 times Claire's age is then 2(x +1).

The equation that models the situation:

x + 2(x + 1) = 26 (the sum of Magan and twice Claire IS 26)

x + 2x + 2 = 26

3x + 2 = 26

3x = 24

x=8

x+1 = 9

8 + twice(9)

8 + 18

26