Two numbers are in the ratio 21:17. If their HCF is 5, find the numbers.
Answers
Answered by
24
Answer:
Given :-
- Two numbers are in the ratio of 21 : 17 and their HCF is 5.
To Find :-
- What are the numbers.
Solution :-
Let, the first number be 21x
And, the second number will be 17x
Then, the L.C.M = 21x × 17x
As we know that,
✪ H.C.F × L.C.M = Product of two numbers ✪
Given :
- H.C.F = 5
- L.C.M = 21x × 17x
- Product of two numbers = 21x and 17x
According to the question by using the formula we get,
⇒ 5 × 21x × 17x = 21x × 17x
⇒ 5 × 357x = 357x
⇒ 5 = 357x/357x
⇒ 5 = x
➠ x = 5
Hence, the required numbers are,
✧ First number = 21x = 21(5) = 105
✧ Second number = 17x = 17(5) = 85
∴ The numbers are 105 and 85.
Answered by
16
Solution:-
Given:-
- → Ratio are 21 : 17
- → Let the be 21x , 17x and its HCF be x
- → Its HCF is 5
- → Number 21x , 17x , where x is 5
We Get
- → 21x and 17x
- → 21 × 5 and 17 × 5
- → 105 and 85
- → The Number are 105 and 85
Answer
- 105 and 85
More Information about HCF
→ HCF( Highest common factor ) of two or more number cannot greater than any one of them
→ If One number is a factor of the other number their HCF will be that Smaller number
→The HCF of the Number is the product of the common prime factor
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