uncle tom's age is 7 years less than 6 times his nephews age. the sum of their ages is 70 .
n = nephew's age
n + 6n - 7 = 70
Take it from there
7n-7=70
7n=63
63/7=9
n=9
Am I Right?
Right.
To find the ages of Uncle Tom and his nephew, we can set up a system of equations based on the given information.
Let's represent Uncle Tom's age as T and his nephew's age as N.
From the given information, we have two equations:
1) Uncle Tom's age is 7 years less than 6 times his nephew's age: T = 6N - 7
2) The sum of their ages is 70: T + N = 70
Now we can solve this system of equations.
Using the substitution method, we substitute the value of T from equation 1 into equation 2:
(6N - 7) + N = 70
7N - 7 = 70
Adding 7 to both sides of the equation:
7N = 77
Dividing both sides by 7:
N = 11
Now that we have the nephew's age (N = 11), we can substitute it back into equation 1 to find Uncle Tom's age:
T = 6N - 7
T = 6(11) - 7
T = 66 - 7
T = 59
Therefore, Uncle Tom is 59 years old and his nephew is 11 years old.