Question

Two numbers are in the ratio 2:3. If
their L.C.M. is 48. what is sum of the
numbers?​

Answer 1

Answer:

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Step-by-step explanation:

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Given, two numbers are in the ratio 2 : 3

Let the constant be x

So, let the numbers in the ratio be 2x and 3x

Given, their LCM is 48

LCM of 2x and 3x is 6x because LCM of 2 and 3 is 6 so LCM of 2x and 3x is 6x

According to the question,

6x = 48

➾ x = \dfrac{48}{6}

6

48

➾ x = 8

Sum of the numbers ➾ 2x + 3x

➾ 5x

➾ 5 × 8

➾ \boxed {40}

40

∴ Sum of the numbers is 40

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