two number are in the ratio 22 is to 17 if their HCF is 5 find the number
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Answer:
The number are 85, 110
Step-by-step explanation:
The given ratio is 22:17
if x is the proportional value, then
Let the numbers be = 22x & 17x
=> LCM of 22x and 17x = 22 × 17 × x
=> HCF of 22x and 17x = 5
We know that:
Product of LCM and HCF of 2 number = Product of the 2 numbers
=> 5 × 22 × 17 × x = 22x × 17x
=> x = 5
therefore, the numbers
22x = 22*5 = 110
17x = 17*5 = 85
The number are 85, 110
Answered by
0
Step-by-step explanation:
Let,
The two numbers be 22x and 17x.
The least common multiple (L.C.M.) = 22x × 17x
The product of number = 22x × 17x
We know that,
L.C.M. × H.C.F. = Product of number.
22x × 17x × 5=22x ×17x
374x × 5 = 374x
5 = 374x/374x
5= 1x
x=5
the two numbers are
22x= 22×5=110
17x =17×5 =85
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