Question

H.C.F of two numbers 21 and their L.C.M is 735. Find the sum of the numbers.
Plz do Explain​

Answer 1

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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