Question

दोन संख्या 3:5 प्रमाणात असून त्या दोन संख्यातील फरक 18 आहे तर त्या दोन संख्याचा लसावी काढा

Answer 1

Given:

दोन संख्या 3:5 प्रमाणात असून त्या दोन संख्यातील फरक 18 आहे

To find:

तर त्या दोन संख्याचा लसावी काढा

Solution:

Let "3x" and "5x" be the two numbers.

The difference between the two numbers is 18, so, the equation will be,

$5x - 3x = 18$

$\implies 2 x = 18$

$\implies \bold{x = 9 }$

Therefore, the two numbers are:

3x = 3 × 9 = 27

5x = 5 × 9 = 45

Now, we will find the L.C.M. of 27 & 45 by using the prime factorisation method,

27 = 3 × 3 × 3

45 = 3 × 3 × 5

∴ Lowest Common Multiple of 27 & 45 = 3 × 3 × 3 × 5 = 135

Thus, the L.C.M. of the two numbers is → 135.

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Answer 2

Given⤵️

दोन संख्या 3:5 प्रमाणात असून त्या दोन संख्यातील फरक 18 आहे

To find⤵️

तर त्या दोन संख्याचा लसावी काढा

Calculation ⤵️

Let "3x" and "5x" be the two numbers.

The difference between the two numbers is 18,

Therefore the equation will be,

$5x - 3x = 18$

$\implies 2 x = 18$

$\implies \bold{x = 9 }$

Therefore, the two numbers are:

3x = 3 × 9 = 27

5x = 5 × 9 = 45

Now, we will find the L.C.M. of 27 & 45 by using the prime factorisation method,

27 = 3 × 3 × 3

27 = 3 × 3 × 345 = 3 × 3 × 5

∴ Lowest Common Multiple of 27 & 45 = 3 × 3 × 3 × 5 = 135

Thus, the L.C.M. of the two numbers is → 135.

Answer:- The L.C.M. of the two numbers is 135.

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