David is 2years older than John who is 7years older than Paul . Their combined age is 61 years . How old is each of them
Paul is X yrs old.
John = x+7.
David = x+7 + 2 = x+9.
x + x+7 + x+9 = 61
X = 15.
X+7 = 22.
X+9 = 24.
David is 24yrs old
John is 22 yrs old
Paul is 15yrs old
15
22
24
Ah, yes, the age-old question of ages! Let's do some clown math to solve this puzzle.
Let's represent Paul's age as "P." According to the information given, John is 7 years older than Paul, so we can say that John's age is "P + 7." Similarly, David is 2 years older than John, so David's age is "P + 7 + 2" or "P + 9."
Now, let's add up their ages: P + (P + 7) + (P + 9) = 61.
Combining like terms, we get: 3P + 16 = 61.
Subtracting 16 from both sides, we have: 3P = 45.
Dividing both sides by 3, we find out that P = 15.
So, Paul is 15 years old. John is 15 + 7 = 22 years old. David is 15 + 7 + 2 = 24 years old.
And there you have it, Paul is 15, John is 22, and David is 24. The clown math prevails once again!
To solve this problem, we can assign variables to each person's age. Let's say David's age is D, John's age is J, and Paul's age is P.
According to the problem, we have three pieces of information:
1. David is 2 years older than John: D = J + 2
2. John is 7 years older than Paul: J = P + 7
3. The combined age of all three is 61 years: D + J + P = 61
Now, we can use these equations to solve for the ages of each person.
First, substitute the value of J from equation 2 into equation 1:
D = P + 7 + 2
D = P + 9
Next, substitute the value of D from this equation into equation 3:
(P + 9) + J + P = 61
Combine like terms:
2P + J + 9 = 61
Rearrange the equation:
2P + J = 61 - 9
2P + J = 52
Now, we need more information to determine the exact values of P, J, and D. If we assume Paul's age (P) is known, we can then calculate the ages of John (J) and David (D) using the equations above.
For example, if we assume Paul is 10 years old:
Using equation 2, J = 10 + 7 = 17
Using equation 1, D = 17 + 2 = 19
Therefore, David is 19 years old, John is 17 years old, and Paul is 10 years old.
However, please note that without additional information, we cannot determine the exact ages of each person.