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Two numbers are in the ratio 5 : 9. If their L.C.M is 225, what is the sum of the numbers?

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Two numbers are in the ratio 5 : 9. If their L.C.M is 225, what is the sum of the numbers?
posted Jul 5 by Divya Bharti

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2 Answers

0 votes

The actual numbers are 5a and 9a where a is the common factor (GCF)
The product of GCF and LCM of the 2 numbers should give us the product of the 2 numbers
GCF x LCM = a x 225 = 5a x 9a
225 = 45a
5 = a

Therefore the numbers are 5*5 & 9*5 ie., 25 & 45 & Sum = 70..

answer Jul 5 by Tejas Naik
0 votes

70


5x*9x=225x --> x=5
5x+9x=70

answer Jul 5 by Hanifa Mammadov
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