Suppose you have 108 green marbles and 144 red marbles. You decide to separate them into packages of equal number of marbles. Find the maximum possible number of marbles in each package.
Answers
Step-by-step explanation:
required number=h.c.f of 108 and 144
hence h.c.f is 36.
.: maximum possible number of marbles in each package is 36.
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The Maximum Number Of Marbles In Each Packet Is 36
GIVEN
Number of green marbles = 108
Number of red marbles = 144.
TO FIND
Maximum possible number of marbles in each package.
SOLUTION
We can simply solve the above problem as follows-
To calculate the maximum possible number of marbles each package we will first find out the factors of 108 and 144 and then find out the highest common factor among them.
Factors of 108 = 2×2×3×3×3
Factors of 144 = 2×2×2×2×3×3
HCF of 108 and 144 = 2×2×3×3 = 36.
This number is equal to the maximum number of marbles in each packet.
Hence, the maximum number of marbles in each packet is 36
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