Question

1. For each of the following pairs of numbers, verify that product of numbers is equal to the product of their HCF and LCM. (a) 10, 15 (b) 35, 40 (c) 32, 48

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Answer 1

Answer:

Answer in step-by-step down here

Step-by-step explanation:

a. 10, 15

10 = 2*5

15 = 3*5

L.C.M. = 2*3*5 = 30

H.C.F. = 5

Product of no. = 10*15 = 150

Product of H.C.F. and L.C.M. = 30*5 = 150

Hence verified.

b. 35, 40

35 = 5*7

40 = 5*8

L.C.M. = 5*7*8 = 280

H.C.F. = 5

Product of no. = 35*40 = 1400

Product of H.C.F. and L.C.M. = 280*5 = 1400

Hence verified.

c. 32, 48

32 = 4*8

48 = 6*8

L.C.M. = 4*6*8 = 192

H.C.F. = 8

Product of no. = 32*48 = 1536

Product of H.C.F. and L.C.M. = 192*8 = 1536

Hence verified.

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