Together, Jared's age and his grandfather's age total 100. But Jared's grandfather is 70 years older than him. How old is Jared's grandfather?
Jared --- x
grandpa -- x+70
x + x+70 = 100
2x = 30
x = 15
so grandpa is 15+70 = 85
To find Jared's grandfather's age, we can set up an equation based on the information given.
Let's assume Jared's age is represented by "J" and his grandfather's age is represented by "G".
The problem states that Jared's age and his grandfather's age total 100, so we can write the equation as:
J + G = 100 ---(1)
We're also given that Jared's grandfather is 70 years older than him, so we can write another equation as:
G = J + 70 ---(2)
Now, we can solve this system of equations to find the ages.
Substituting equation (2) into equation (1), we have:
J + (J + 70) = 100
Combining like terms, we get:
2J + 70 = 100
Subtracting 70 from both sides of the equation, we have:
2J = 30
Dividing both sides of the equation by 2, we get:
J = 15
Now, we can substitute the value of J back into equation (2) to find G:
G = 15 + 70
G = 85
Therefore, Jared's grandfather is 85 years old.