If the sum of 2 neember is 165. ( Their L.C.M
is 1300 and HCF is 5. Then the differeent.
between 2 number.
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The difference between two numbers = 35
Step-by-step explanation:
Given,
LCM = 1300 and HCF = 5
Let x and y be the two numbers.
Where, x > y
To find, the difference between two numbers(x - y) = ?
According to question,
x + y = 165 ............. (1)
We know that,
LCM × HCF = Product of two numbers
⇒ xy = 1300 × 5
⇒ xy = 6500 ...............(2)
∴
⇒
⇒
⇒ = 1225
⇒
⇒ x - y = 35
∴ The difference between two numbers(x - y) = 35
Thus, the difference between two numbers is 35.
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