Steve's mom's age is 7 years less than 3 times Steve's age. The sum of their ages is 65 years. Find their ages.
Let s = Steve's age.
s + (3s - 7) = 65
4s - 7 = 65
4s = 72
s = 18
Check:
Steve is 18
His mom is (3 * 18) - 7 = 54 - 7 = 47
14 + 47 = 65
Yep.
18 + 47 = 65
Let M = mom's age
let S = steve's age.
M+S = 65
3S = M+7
solve for M and S.
Check my thinking.
Steves mom is 47 and Steve is 18
To solve this problem, we can set up a system of equations based on the given information.
Let's say Steve's age is x.
According to the problem, Steve's mom's age is 7 years less than 3 times Steve's age. So, Steve's mom's age can be expressed as 3x - 7.
The sum of their ages is 65 years, so we have the equation:
x + (3x - 7) = 65
Now, we can solve this equation to find the values of x and 3x - 7.
Combining like terms, we have:
4x - 7 = 65
Next, we can isolate x by moving -7 to the other side of the equation:
4x = 65 + 7
4x = 72
Dividing both sides of the equation by 4, we get:
x = 72 / 4
x = 18
Now, substitute the value of x back into the equation 3x - 7 to find Steve's mom's age:
3(18) - 7 = 54 - 7 = 47
Therefore, Steve is 18 years old, and his mom is 47 years old.