two number are in the ratio 15:11 if there HCF is 13 find the LCM
Answers
Answer:
Let’s try to understand it more clearly.
Take two numbers say 20 and 36
we can write 20 as 2*2*5 and 36 as 2*2*3*3.
So ,hcf =2 *2
and ratio of the two numbers ie 20 and 36 is 5:9
If we want to get back our numbers from the ratio and hcf .We simply do 5*hcf and 9*hcf ie 5*4 and 9*4. We get our original numbers ie 20 and 36.
Apply the same thing to given problem.
Ratio is 15:11 ,hcf=13
So, numbers are 15*13 and 11*13 ie 195 and 143
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Shubham, M.Sc from University of Mumbai (2015)
Answered March 31, 2019
We are given that two numbers are in the ratio 15:11
Lets start with assuming that then the two numbers are 15x & 11x
Also H.C.F is given as 13.i.e X
15 x = 15 * 13 = 195
11 x = 11 *13 = 143
So the two numbers are 195 & 143.
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Kunal Agarwal, Sr Associate Consultant App Testing & QA at NTT Data (2017-present)
Answered March 31, 2019 · Author has 75 answers and 898.6K answer views
Since they are in the ratio 15:1115:11, they can be expressed as 15x and 11x. Their HCF is 13, this translates to each number having 13 as the highest as well as the only common factor between them.
Therefore, to find the numbers, multiply the ratio by 13 both in the numerator and denominator.
Hence, one number is 15∗13=19515∗13=195and the other one is 11∗13=14311∗13=143.
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Dhanaraj
Answered July 30, 2020
When we write 2 number as fraction we cut out the largest common factors that divides both
And write fraction in simplest form
This largest common factor is simply hcf
Here 13
So to get the number back multiply numerator and denominator by 13
Ie, 13x15=195
And 15x15=225
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Harekrishna Prabhu, Works out 1008 questions from all around mathématiques.
Answered March 31, 2019 · Author has 92 answers and 212.5K answer views
the larger number is 13 * 15 = 195.
the smaller number is ( 13 * 15 ) * 11 / 15
(product of means = product of extremes)
= 195 * 11 / 15
=143
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