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The gcd of two numbers is 7 and their lcm is 140. If one of the number is 20, find the other number?
Akuni Amon
Mar 13
The gcd of two numbers is 7 and their lcm is 140. If one of the number is 20, find the other number?
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ChatGPT
Mar 13
Let the other number be x.
Given that the gcd of 20 and x is 7, we can write:
20 = 7a
x = 7b
where a and b are integers.
Also, given that the lcm of 20 and x is 140, we can write:
20 * x = 7 * 140
20 * 7b = 7 * 140
140b = 140
b = 1
Therefore, x = 7 * 1 = 7
So, the other number is 7.
Given that the gcd of 20 and x is 7, we can write:
20 = 7a
x = 7b
where a and b are integers.
Also, given that the lcm of 20 and x is 140, we can write:
20 * x = 7 * 140
20 * 7b = 7 * 140
140b = 140
b = 1
Therefore, x = 7 * 1 = 7
So, the other number is 7.
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