Math, asked by jyotikishore013, 11 months ago


If the sum of 2 neember is 165. ( Their L.C.M
is 1300 and HCF is 5. Then the differeent.
between 2 number.​

Answers

Answered by shobhakandha
0

Answer:

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Step-by-step explanation:

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Answered by harendrachoubay
0

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)

(x-y)^{2} =(x+y)^{2}-4xy

(x-y)^{2} =165^{2}-4(6500)

(x-y)^{2} =27225}-26000

(x-y)^{2} = 1225

(x-y)^{2}=35^2

⇒ x - y = 35

∴ The difference between two numbers(x - y) = 35

Thus, the difference between two numbers is 35.

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