Jack is 19 years older than Tom. Together their ages 161 years . What are their ages
Let x = Tom's age.
x + x + 19 = 161
Jack: 90
Tom: 71
Find three consecutive number of which the sum is 85
To find Jack and Tom's ages, you can set up a system of equations based on the given information.
Let's assume Tom's age to be x. Since Jack is 19 years older than Tom, Jack's age will be x + 19.
According to the problem, their ages together sum up to 161 years. So, the equation is:
x + (x + 19) = 161
Simplifying the equation, we get:
2x + 19 = 161
Subtracting 19 from both sides:
2x = 161 - 19
2x = 142
Dividing both sides by 2:
x = 71
Now that we have found Tom's age (x), we can substitute it back into the equation to find Jack's age:
Jack's age = x + 19 = 71 + 19 = 90
Therefore, Tom is 71 years old, while Jack is 90 years old.