Question

A x 10^5 + 2a x 10^4 = 7200000 and a x 10^5 - a x 10^4 = 5400000
Find the value of a

Answer 1

60

Explanation:

Looking at case 1.

a * 10^5 + 2a * 10 ^4= 7200000

a * 10 * 10^4 + 2a *10 ^4 =7200000

[10a + 2a] * 10^4= 7200000

12a= 7200000/ 10000

12a= 720

a= 720/12 = 60

Looking at case 2,

a * 10^5 - a * 10^4 = 5400000

a * 10 * 10^4 - a *10^4 = 5400000

10a* 10^ 4 - a * 10^ 4 = 5400000

[10a- a] *10^4 = 5400000

9a = 5400000/10000

9a= 540

a =540/9

a= 60