Ques:- Susan wants to put up fencing around three sides of her rectangular yard and leave a side of 20 feet unfenced. If the yard has an area of 680 square feet, how many feet of fencing does she need?
Ques:- There are twelve consecutive flags at an equal interval of distance. A man passes the 8th flag in 8 seconds. How many more seconds will he take to pass the remaining 4 flags?
Ques:- The H.C.F of two numbers is 12 and their difference is 12. The numbers are
A. 94, 106
B. 84, 96
C. 70. 82
D. 66, 78
Right Answer:
-
HCF (Highest Common Factor) = 12
-
Difference between the two numbers = 12
Let the two numbers be:
12×x and 12×y (since 12 is their HCF, both numbers must be multiples of 12)
Also given:
|12x – 12y| = 12
⇒ 12 × |x – y| = 12
⇒ |x – y| = 1
So, x and y are two consecutive integers (difference of 1).
Possible values:
x = 1, y = 2 or x = 2, y = 1
Then the two numbers are:
12 × 1 = 12
12 × 2 = 24
✅ Final Answer: The two numbers are 12 and 24.
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