H.C.F of two numbers 21 and their L.C.M is 735. Find the sum of the numbers.
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Answer:
SUM OF NUMBERS = 36
Step-by-step explanation:
→GIVEN:
HCF = 21
LCM = 735
let us assume the numbers to be a and b
Since the HCF is 21, a=21x and b=21y
Therefore, LCM * HCF = Product of the two numbers
21 * 735 = 21x * 21y
21 * 735 / 21 * 21 = xy
so, xy = 35
possible numbers for answer are(using the condition xy = 35)
1 and 35
7 and 5
now, substituting the values in a and b
For 1 and 35
a=21(1) = 21
b=21(35) = 735
For 7 and 5
a=21(7) = 147
b=21(5) = 105
SO THE TWO NUMBERS ARE 1 AND 35 (a and b)
Thus, the sum of numbers is 36
Hope it helps you
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