Math, asked by deepalikashyap2044, 4 months ago

if a+b=12 and a-b=8 then find the value of ab

Answers

Answered by anamika0728
0

Answer:

ab = 10 x 2 = 20

Step-by-step explanation:

Given

a+b = 12 _____(1)

a-b = 8 ______(2)

Substracting (1) from (2)

(2) - (1): a - b - (a+b) = 8 - 12

a - b - a - b = -4

-2b = -4

b = 2

Substituting value of b in (2)

a - b = 8

a - 2 = 8

a = 8+2

a = 10

So, a = 10 and b =.2

Hence,

ab = 10x2 = 20

Checking:

(1):

LHS = a+b = 10 + 2 = 12 = RHS

(2):

LHS = a - b = 10 - 2 = 8 = RHS

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