Question

2a+2b=720and ab=30800 find the value of a, b​

Answer 1

a+b=360 > a=360-b

>b(360-b )=30800

>b=140 ,a=220

Answer 2

The values are a = 140 and b = 220 or a = 220 and b = 140

Solution:

Given that,

2a + 2b = 720 ------- eqn 1

ab = 30800 ------- eqn 2

From eqn 1,

2a = 720 - 2b

a = 360 - b -------- eqn 3

Substitute eqn 3 in eqn 2

$(360 - b)b = 30800\\\\360b - b^2 = 30800\\\\b^2 - 360b + 30800 = 0$

$(b - 220)(b - 140) = 0$

b - 220 = 0

b = 220

b - 140 = 0

b = 140

Put b = 220 in eqn 3

a = 360 - 220

a = 140

Put b = 140 in eqn 3

a = 360 - 140

a = 220

Thus, values are a = 140 and b = 220 or a = 220 and b = 140

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