Asher is 4 years younger than Jacob, and the sum of their ages is
66. Find the ages of Asher and Jacob.
Let x be the age of Jacob.
Asher is 4 years younger, so Asher is (x-4) years old.
The sum of their ages is 66, so x + (x-4) = 66.
Combining like terms, we get 2x - 4 = 66.
Adding 4 to both sides, we get 2x = 70.
Dividing both sides by 2, we get x = 35.
So Jacob is 35 years old and Asher is (35-4) = <<35-4=31>>31 years old. Answer: \boxed{35, 31}.
Let's set up equations to represent the given information:
Let's represent Asher's age as A and Jacob's age as J.
According to the information given, we know that Asher is 4 years younger than Jacob:
A = J - 4 ---(Equation 1)
The sum of their ages is given as 66:
A + J = 66 ---(Equation 2)
We now have a system of two equations with two variables. We can solve this system using substitution or elimination.
Let's solve it using substitution:
Substitute the value of A from Equation 1 into Equation 2:
(J - 4) + J = 66
Combine like terms:
2J - 4 = 66
Add 4 to both sides:
2J = 70
Divide both sides by 2:
J = 35
Now substitute the value of J back into Equation 1 to find A:
A = J - 4
A = 35 - 4
A = 31
Therefore, Asher is 31 years old and Jacob is 35 years old.
To solve this problem, let's break it down step by step:
1. Let's start by assigning variables to the ages of Asher and Jacob. Let's say Asher's age is represented by A, and Jacob's age is represented by J.
2. The problem states that Asher is 4 years younger than Jacob. So, we can write an equation:[ A = J - 4 ]
3. The problem also states that the sum of their ages is 66. So, we can write another equation based on that: [ A + J = 66 ]
4. Now, we have a system of two equations with two variables. We can solve this system to find the values of A and J.
5. To solve the system, we can use the substitution method. Substitute the value of A from the first equation into the second equation:[ (J - 4) + J = 66 ]
6. Simplify the equation: [ 2J - 4 = 66 ]
7. Add 4 to both sides of the equation: [ 2J = 70 ]
8. Divide both sides of the equation by 2: [ J = 35 ]
9. Now that we know Jacob's age is 35, we can substitute this value back into the first equation to find Asher's age: [ A = 35 - 4 ] = 31
10. Therefore, Asher is 31 years old and Jacob is 35 years old.