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elena-14-01-66 [18.8K]
3 years ago
12

LCM of two numbers is 1320 their HCF is 12 if one of the numbers is 132 find the other

Mathematics
1 answer:
guapka [62]3 years ago
5 0

Answer:

<u>brainliest plzzzzzzzz</u>

120

Step-by-step explanation:

LCM=1320

(GDC) HCF=12

Another no.=132

let second no. be =A

According to question

First no.×Second no.=HCF×LCM

132×A=12×1320

132×A=15840

A=15840/132

A=120

Other no. is 120

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Define the three sides to be a,b,c such that a < b < c

So c is the longest side, and 'a' is the shortest with b in the middle.

"longest side is 4 ft shorter than twice the shortest side" means that c = 2a-4

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Both b and c are in terms of 'a', allowing us to do substitutions like so

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a+(a+3)+c = 59 .... first substitution, plug in b = a+3

a+(a+3)+(2a-4) = 59 ... second substitution, plug in c = 2a-4

4a-1 = 59 .... combine like terms

4a = 59+1 ... add 1 to both sides

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a = 60/4 ... divide both sides by 4

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The shortest side is 15 ft

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The longest side is 26 ft

---------------------

Check:

The three sides should add up to a perimeter of 59 ft

a+b+c = 15+18+26 = 59

so the answer is confirmed

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