Question

12) If LCM of 24,84 is 10 a+8 then find the
value of a
1​

Answer 1

Answer:

Actual LCM of 24 and 84 = 168

According to the question,

LCM of 24 and 84 = 10a+8

Then,

10a + 8 = 168

10a = 168 - 8

10a = 160

a = 160/10

a = 16

Step-by-step explanation:

I hope it will be helpful to you.

Answer 2

Given:-

๛LCM(24,84)=10a+8

$\rule{200}{1}$

To Find:-

✪The value of a?

$\rule{200}{1}$

AnsWer:-

☞a=16

$\rule{200}{1}$

Explanation:–

•Let us find the HCF of the two no.s•

➜Formula→a=bq+r

↝84=24×3+12

↝24=12×2+0

[°•°HCF=12]

↝HCF(24,84)=12

✪As we Know, HCF×LCM=Product of No.s✪

▼Putting The Values▼

↝12×(10a+8)=24×84

↝10a+8=$\frac{\cancel{24}\times 84}{\cancel{12}}$

↝10a+8=2×84

↝10a=168-8

↝10a=160

↝a=$\frac{\cancel{160}}{\cancel{10}}$

☞a=16

$\rule{200}{2}$