Math, asked by neetasoudagar, 3 months ago

the value of a+b for the following equation 99a+101b =499;101a+99b=501 is

Answers

Answered by anshu005512
0

Step-by-step explanation:

ANSWER

Given equation are

99x+101y=499−−−(1)

101x+99y=501−−−(2)

Adding (1) and (2)

200x+200y=1000

∴ x+y=5−−−(3)

Subtracting (1) from (2)

2x−2y=2

∴ x−y=1−−−(4)

Adding (3) and (4)

2x=6 ∴

x=3

Putting x=3 in equation (4)

3−y=1

∴ y=2

∴ y=2,x=3

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