Respuesta :
Answer:
The age of Ms. Jenkins oldest daughter is 14.
Step-by-step explanation:
First: List addition sentences that include all of the whole numbers that could equal 24:
Why should we do that? To find out what numbers have a sum of 24. Any of the two numbers that make up the addition equation could be the ages of Ms. Jenkins' daughters [and the bigger number; our answer].
- 0 + 24 = 24
- 1 + 23 = 24
- 2 + 22 = 24
- 3 + 21 = 24
- 4 + 20 = 24
- 5 + 19 = 24
- 6 + 18 = 24
- 7 + 17 = 24
- 8 + 16 = 24
- 9 + 15 = 24
- 10 + 14 = 24
- 11 + 13 = 24
- 12 + 12 = 24
If we continued listing numbers, we would repeat numbers that are already listed, so we can stop there.
Second: Find out which of the two numbers that make up the addition equation have a product (multiplication answer) of 140:
- 0 x 24 = 0
- 1 x 23 = 23
- 2 x 22 = 44
- 3 x 21 = 63
- 4 x 20 = 80
- 5 x 19 = 95
- 6 x 18 = 108
- 7 x 17 = 119
- 8 x 16 = 128
- 9 x 15 = 135
- 10 x 14 = 140
- 11 x 13 = 143
- 12 x 12 = 144
10 x 14 equals 140, and 10 + 14 = 140. These two numbers meet all of the conditions of the question. Now, which one is bigger [or which sister's age is older] 10 or 14. 14 is obviously bigger so 14 is the age of Ms. Jenkins' oldest daughter.
