Question

if a-b=4a+b=6find ab​

Answer 1

Answer:

Required value of ab is 5.

Step-by-step explanation:

It is given that the value of a - b is 4 and value of a + b is 6.

= > a - b = 4

= > a = 4 + b              ...( i )

Substituting the value of a from ( i ) in a + b = 6.

= > a + b = 6

= > ( 4 + b ) + b = 6

= > 4 + b + b = 6

= > 4 + 2b = 6

= > 2b = 6 - 4

= > 2b = 2

= > b = 2 / 2

= > b = 1

Substituting the value of b in ( i )

= > a = 4 + b

= > a = 4 + 1

= > a = 5

Here, we have to find the numeric value of ab :

= > ab

= > 1 x 5          { a = 5 and b = 1 }

= > 5    

Hence the required value of ab is 5.

Answer 2

a-b=4
a+b=6
(a-b)(a+b)=24


a=4+b
a=6-b

4+b=6-b