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:
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:
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:
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:
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:
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.
