Annie is two years more than three times as old as her son, Jared. If the difference between their ages is 26, how old are Annie and Jared?
annie=26
jared=10
Annie=26
Jared=10
To solve this problem, we can first set up equations based on the information given.
Let's say Jared's age is "x" years.
According to the problem, Annie is two years more than three times Jared's age, so her age would be 3x + 2.
The problem also states that the difference in their ages is 26. Therefore, we can set up the equation:
(3x + 2) - x = 26
Now we can solve for x:
2x + 2 = 26 (combined like terms)
2x = 26 - 2 (subtract 2 from both sides)
2x = 24
x = 24 / 2 (divide both sides by 2)
x = 12
So Jared's age (x) is 12 years old.
Now, to find Annie's age, we substitute x back into the equation for her age:
Annie's age = 3x + 2
Annie's age = 3(12) + 2
Annie's age = 36 + 2
Annie's age = 38
Therefore, Jared is 12 years old and Annie is 38 years old.
A = 3J + 2
A - J = 26
Substitute 3J+2 for A in the second equation and solve for J. Then put J value in the first equation to solve for A. Check by putting both values into the second equation.