Max is 5 years younger than Michael . 4 years ago the sum of their ages was 25. How old are they ?
present age:
michael ---- x
max ------- x-5
4 years ago:
michael ---- x-4
max ------- x - 9
x-4 + x-9 = 25
2x = 38
x = 19
Michael is now 19 , and Max is now 14
check: 4 years ago , Michael was 15 and Max was 10
was the sum of their ages at that time 25? YES
Well, let's see if my calculations are clown-tastic today. Let's assume Michael's current age is M, and Max's current age is X. Given that Max is 5 years younger than Michael, we can write an equation: X = M - 5.
Four years ago, Michael was M - 4 years old and Max was X - 4 years old. The sum of their ages was 25, so we can set up another equation: (M - 4) + (X - 4) = 25.
Now, let's substitute X from the first equation into the second equation: (M - 4) + ((M - 5) - 4) = 25.
Simplifying that equation: M - 4 + M - 9 = 25.
Combining like terms, we get: 2M - 13 = 25.
Time for some clown math magic! Adding 13 to both sides, we have: 2M = 38.
Now, divide by 2 on both sides: M = 19.
Plugging the value of M into the first equation, we find that X = 19 - 5, which means X = 14.
So, Michael is 19 years old, and Max is the clown-tastic age of 14. Enjoy the clown show! 🎪🤡
Let's solve this step-by-step.
Let's assume Max's age is M and Michael's age is Mi.
According to the given information, we know that Max is 5 years younger than Michael. So, we have the equation:
M = Mi - 5
We also know that 4 years ago, the sum of their ages was 25. So, we have the equation:
(M - 4) + (Mi - 4) = 25
Let's simplify the equation:
M + Mi - 8 = 25
Now, substitute the value of M from the first equation into the second equation:
(Mi - 5) + Mi - 8 = 25
2Mi - 13 = 25
Add 13 to both sides:
2Mi = 38
Divide both sides by 2:
Mi = 19
Now, substitute the value of Mi into the first equation:
M = 19 - 5
M = 14
Therefore, Max is 14 years old and Michael is 19 years old.
To solve this problem, let's assign variables to the unknown ages. Let's say Max's age is M and Michael's age is M + 5 (since Max is 5 years younger than Michael).
We are given that 4 years ago, the sum of their ages was 25. So, let's use this information to set up an equation.
4 years ago, Max's age was M - 4 and Michael's age was M + 5 - 4 = M + 1. The sum of their ages was 25, so we can write the equation:
(M - 4) + (M + 1) = 25
Now, let's solve the equation to find the values of M and M + 5.
2M - 3 = 25
2M = 28
M = 14
Therefore, Max is 14 years old, and Michael is 14 + 5 = 19 years old.