Question

The L.C.M and G.C.D of 6 and 'a' is 60 and 2 respectively, then find the value of a.​

Answer 1

$Answer$

$Required \: number = 30$

Step-by-step explanation:

$/* If a, b are two numbers and their HCF = H , LCM = L then$

a × b = H × L */

$Here , \: a = 12 , b = ? \\H = 6 ,\:L = 60$

$a \times b = H \times L$

$\implies 12 \times b = 6 \times 60$

$\implies b = \frac{6 \times 60}{12}\\=6 \times 5\\=30$

Therefore.,

Required \: number = b = 30

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Answer 2

Answer:

$lcm \times gcd = product \: of \: numbers \:$

Step-by-step explanation:

$60 \times 2 = 6 \times a \\ 120 = 6a \\ a = 120 \div 6$

$a = 20$