Guess My Age! Word Problems: Solve & Match Math | Printable Skills ... - Free Printable

Let me solve each problem step by step to find the correct matches.

Problem 1 (Left): Gisella is four years older than Maria. The sum of their ages is 22. How old is Gisella?

Let Maria's age = M
Gisella's age = M + 4
M + (M + 4) = 22
2M + 4 = 22
2M = 18
M = 9

So Maria is 9, and Gisella is 9 + 4 = 13

Problem 2 (Left): Henry is six years younger than Beckett. The sum of their ages is 30. How old is Beckett?

Let Beckett's age = B
Henry's age = B - 6
B + (B - 6) = 30
2B - 6 = 30
2B = 36
B = 18

Beckett is 18

Problem 3 (Left): The difference between Carl's and John's ages is five years. The sum of their ages is 27. If Carl is older than John, how old is he?

Let Carl's age = C
John's age = J
C - J = 5 (Carl is older)
C + J = 27

From first equation: C = J + 5
Substitute: (J + 5) + J = 27
2J + 5 = 27
2J = 22
J = 11

So Carl = 11 + 5 = 16

Carl is 16

Problem 4 (Left): Sarah is one-quarter the age of her grandmother. If her grandmother is 45 years older than she is, how old is Sarah?

Let Sarah's age = S
Grandmother's age = 4S (one-quarter means grandmother is 4 times Sarah's age)
Also: Grandmother = S + 45

So: 4S = S + 45
3S = 45
S = 15

Sarah is 15

Now let me solve the RIGHT side problems:

Problem A (Right): Ollie is three times the age of his dog and his dog is two years older than his cat. If Ollie's cat is four years old, how old is Ollie?

Cat = 4
Dog = Cat + 2 = 4 + 2 = 6
Ollie = 3 × Dog = 3 × 6 = 18

Ollie is 18

Problem B (Right): Elaine is one year older than Jerry and the product of their ages is 42. What is the sum of their ages?

Let Jerry's age = J
Elaine's age = J + 1
J × (J + 1) = 42
J² + J = 42
J² + J - 42 = 0

Factoring: (J + 7)(J - 6) = 0
J = 6 or J = -7 (age can't be negative)

So Jerry = 6, Elaine = 7
Sum = 6 + 7 = 13

Problem C (Right): Walker is three times the age of Hunter. If the sum of the two boys' ages is 20, how old is Walker?

Let Hunter's age = H
Walker's age = 3H
H + 3H = 20
4H = 20
H = 5

Walker = 3 × 5 = 15

Walker is 15

Problem D (Right): If he were one year older, Jimmy would be exactly half the age of his 34-year-old Aunt Tina. How old is Jimmy?

Let Jimmy's age = J
If Jimmy were one year older: J + 1
This equals half of 34: (J + 1) = 34/2 = 17
J + 1 = 17
J = 16

Jimmy is 16

Now let me match them:

LEFT answers: 13, 18, 16, 15
RIGHT answers: 18, 13, 15, 16

Matching:
- Problem 1 (Gisella = 13) → B (sum = 13)
- Problem 2 (Beckett = 18) → A (Ollie = 18)
- Problem 3 (Carl = 16) → D (Jimmy = 16)
- Problem 4 (Sarah = 15) → C (Walker = 15)

Final Answer:
1-B, 2-A, 3-D, 4-C