12.04.2022

The LCM of two numbers is 14 times their HCF. The sum of LCM and HCF is 600. If one number is 280, then find the other number.

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24.06.2023, solved by verified expert
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Given:

The LCM of two numbers is 14 times their HCF.

The sum of LCM and HCF is 600.

One number is 280.

To find:

The other number.

Solution:

Let HCF of two numbers be x.

The LCM of two numbers is 14 times their HCF.

LCM = 14x

The sum of LCM and HCF is 600.

The LCM of two numbers is 14 times their HCF., №17886719, 12.04.2022 04:00

The LCM of two numbers is 14 times their HCF., №17886719, 12.04.2022 04:00

The LCM of two numbers is 14 times their HCF., №17886719, 12.04.2022 04:00

The LCM of two numbers is 14 times their HCF., №17886719, 12.04.2022 04:00

So, HCF = 40 and the LCM is

The LCM of two numbers is 14 times their HCF., №17886719, 12.04.2022 04:00

The LCM of two numbers is 14 times their HCF., №17886719, 12.04.2022 04:00

We know that, if a and b are two numbers, then

The LCM of two numbers is 14 times their HCF., №17886719, 12.04.2022 04:00

One number is 280.

The LCM of two numbers is 14 times their HCF., №17886719, 12.04.2022 04:00

The LCM of two numbers is 14 times their HCF., №17886719, 12.04.2022 04:00

The LCM of two numbers is 14 times their HCF., №17886719, 12.04.2022 04:00

The LCM of two numbers is 14 times their HCF., №17886719, 12.04.2022 04:00

Therefore, the other number is 80.

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Mathematics
Step-by-step answer
P Answered by PhD

Given:

The LCM of two numbers is 14 times their HCF.

The sum of LCM and HCF is 600.

One number is 280.

To find:

The other number.

Solution:

Let HCF of two numbers be x.

The LCM of two numbers is 14 times their HCF.

LCM = 14x

The sum of LCM and HCF is 600.

14x+x=600

15x=600

x=\dfrac{600}{15}

x=40

So, HCF = 40 and the LCM is

LCM=14(40)

LCM=560

We know that, if a and b are two numbers, then

a\times b=LCM(a,b)\times HCF(a,b)

One number is 280.

280\times b=560\times 40

b=\dfrac{560\times 40}{280}

b=2\times 40

b=80

Therefore, the other number is 80.

Mathematics
Step-by-step answer
P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics
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P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
Step-by-step answer
P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

Mathematics
Step-by-step answer
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For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics
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y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics
Step-by-step answer
P Answered by PhD
The answer is in the image 

The answer is in the image 

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
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P Answered by PhD

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The solution is given in the image below

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