II. Translate Each Problem Into Mathematical Equation Then Solve. Write Your Solution On…

II. Translate each problem into Mathematical equation then solve. Write your solution on the space
provided. (5 points each)
11-15. I am 24 years old. My age is 2 less than twice my sister’s age. How old is my sister?
16-20. Eric is a biker, he travels at an average span of 15km per hour. How long will it take him to travel
135 km if he continues at this speed?​

Answer:

11-15. I am 24 years old. My age is 2 less than twice my sister’s age. How old is my sister?

Let s = sister’s age

Equation will be:

2s – 2 = 24

2s = 24 + 2

2s = 26 (then divide both sides by 2)

s = 13

Hence, her sister’s age is 13

To check, given we find x = 13

2s – 2 = 24

2(13) – 2 = 24

26 – 2 = 24

24 = 24

16-20. Eric is a biker, he travels at an average span of 15km per hour. How long will it take him to travel

135 km if he continues at this speed?

Time = Distance ÷ speed

Time = 135 km ÷ 15kmh

Time = 9 hours

It will take Eric 9 hours to travel 135 km at a speed of 15kmh.

Don’t forget to double check. Hope this helps 🙂

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