Question

Given that hcf(35,45)=5,lcm(35,45)=63×a,find a

Answer 1

Answer:HCF x LCM = a x b

5 x (63 x a) = 35 x 45

5 x 63a = 1575

63a = 1575/5

63a = 315

a = 315/63

a = 5

Answer 2

Answer:

Value of a = 5

Step-by-step explanation:

/* We know that ,

If m, n are two positive numbers then

HCF(m,n) × LCM(m,n) = m × n */

Here,

m = 35 , n = 45,

HCF(35,45) = 5,

LCM(35,45) = 63 × a ,

$HCF(35,45)\times LCM(35,45) = 35\times 45$

$\implies 5\times 63\times a = 35\times 45$

$\implies a = \frac{35\times 45}{5\times 63}\\=5$

Therefore,

Value of a = 5

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