The H.C.F. and L.C.M of two numbers are 5 and 280 respectively if one number is 35 find the other number
Answers
Answered by
9
Answer:
40
Step-by-step explanation:
First multiply LCM by HCF
5*280=1400
Now divide by First no
1400/35=40
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Answered by
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Given :
- H.C.F. of two numbers = 5
- L.C.M. of two numbers = 280
- One number is = 35
To find : The other number.
Solution :
We can simply solve this mathematical problem by using the following mathematical process.
To solve this mathematical problem, we have to know about the mathematical relationship between the HCF of two numbers, LCM of two numbers and product of two numbers. Which is :
H.C.F. of two numbers × L.C.M. of two numbers = Product of two numbers
Let, the other number = x
According to the previously mentioned mathematical relationship between HCF of two numbers, LCM of two numbers and product of two numbers, we can write that :
5 × 280 = 35 × x
35x = 1400
x = 1400/35
x = 40
Hence, the other number will be 40
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