7. The LCM and HCF of two numbers are 180 and 6 respectively. If one of the numbers
is 30, find the other number.
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Given:
- LCM of two numbers = 180
- HCF of two numbers = 6
- One of the numbers, a = 30
To find out:
Find the other number( b ) ?
Solution:
We can find the other number by using rule:
Product of two numbers = HCF × LCM
a × b = HCF × LCM
★Substituting the values ,we get
⇒ 30 × b = 6 × 180
⇒ 30b = 1,080
⇒ b = 1,080/30
⇒ b = 108/3
⇒ b = 36
Hence, the other number is 36.
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