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slava [35]
3 years ago
13

Need some help with number word problems, tysm if you do :)

Mathematics
1 answer:
lord [1]3 years ago
4 0

Answer:

Read below

Step-by-step explanation:

<em>x is always the smaller number</em>

<em>y is always the larger number</em>

<u>underlined</u> means it's the question

bolded means it's the answer

<em>1. </em>

<u>One number is 6 times as large as another. Their sum is 42. Find the numbers.</u>

The numbers need to fit the criteria:

  • 6x=y
  • x+y=42

A. 6+36=42 (correct)

B. 7+42=49 (incorrect)

C. 7+35=42 (incorrect because it doesn't follow the 1st rule)

D. 6+42=48 (incorrect)

Only A. 6, 36 fits the criteria.

<em>2. </em>

<u>One number is 3 less than another. Four times the smaller is 4 more than 3 times the larger. Find the numbers.</u>

The numbers need to fit the criteria:

  • x+3=y
  • 4x-4=3y

A.

4+3=7

12-6≠21 (incorrect)

B.

7+3=10

28-3≠30 (incorrect)

C.

13+3=16

52-4=48 (correct)

D.

9+3≠13 (incorrect)

Only C. 13, 16 fits the criteria.

<em>3. </em>

<u>One number is 4 less than another. Five times the smaller is 3 less than 4 times the larger. Find the numbers.</u>

The numbers need to fit the criteria:

  • x+4=y
  • 5x+3=4y

A.

13+4=17

65+3=68 (correct)

B.

-23+4= -19

-115+3≠ -76 (incorrect)

C.

17+4=21

85+3≠84 (incorrect)

D.

-11+4+ -7

-35+3≠ -33 (incorrect)

Only A. 13, 17 fits the criteria.

<em>4.</em>

<u>The sum of two numbers is 23. When three times the smaller is subtracted from the larger, the result is 3. Find the numbers.</u>

The numbers need to fit the criteria:

  • x+y=23
  • y-3x=3

A.

5+18=23

18-15=3 (correct)

B.

8+15=23

15-24≠3 (incorrect)

C.

-13+36=23

36+39≠3 (incorrect)

D.

-5+28=23

28+15≠3 (incorrect)

Only A. 5, 18 fits the criteria.

<em>5.</em>

<u>The sum of two numbers is 26. When twice the smaller is subtracted from the larger, the result is 2. Find the numbers.</u>

The numbers need to fit the criteria:

  • x+y=26
  • y-2x=2

A.

8+18=26

18-16=2 (correct)

B.

9+17=26

17-18≠2 (incorrect)

C.

7+19=26

19-14≠2 (incorrect)

D.

6+20=26

20-12≠2 (incorrect)

Only A. 8, 18 fits the criteria.

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