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If two numbers are in the ratio 6:13 and their LCM is 312, then find the numbers.​

User Karim Samir
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1 Answer

21 votes
21 votes

Answer:

The two numbers are 12 and 26

Explanation:

let the first number = a

let the second number = b

The ratio of the numbers is given as;


image -------- (1)

The lcm of the two numbers is given as;

a x b = 312

ab = 312 --------- (2)

From equation (1),
image


image

Therefore, the two numbers are 12 and 26