Question

Directions: Read and analyze each problem carefully. Answer the questions accordingly and
write your complete solutions in a separate answer sheet.
1) Neil took two numbers from the box to find out the numbers who will play the game. The
sum of these numbers is 54 and their difference is 12. What is the larger number?
2) Joan weighs 3 kg more than her sister Annie and their total weight is 92 kg. What is the
weight of each girl?
3) Along the subdivision, Ronnie and Margie 1 kilometer apart walk towards each other at the
same time. Ronnie walks twice as fast as Margie. If they meet in 10 minutes, what is the
rate of Margie? rate of Ronnie?
4) Working together, Flor and Lea can finish their Mathematics learning tasks in 2 hours.
Working alone, Flor can do the task in 5 hours. How long does it take Lea to do the same
task working alone?
5) Katie is 4 years younger than her brother Rico. Three years from now, she will be twice as
old as Rico. What are their present ages?

Answer 1

1) The larger number is 33.

2) Joan weighs 47.5 kg, and Annie weighs 44.5 kg.

3) Ronnie walks at a rate of 4 km/h, while Margie walks at a rate of 2 km/h.

4) It takes 3 hours for Lea to do the same task working alone.

5) Katie is 5 years old and Rico is 1 year old.

To solve each problem, the following calculations must be done:

1)

(54 - 12) / 2 = X

42 / 2 = X

21 = X

21 + 12 = 33

33 + 21 = 54

2)

(92 - 3) / 2 = X

89 / 2 = X

44.5 = X

44.5 + 3 = 47.5

44.5 + 47.5 = 92

3)

1000 / 3 x 2 = 666.666

0.666 x 6 = 3.999

0.333 x 6 = 1.999

4)

1/5 + 1/X = 1/2

10/5 + 10/X = 10/2

2 + X = 5

X = 5 - 2

X = 3

5)

5 /// 1

8 /// 4

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