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99x + 101y = 499 ; …

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99x + 101y = 499 ; 101x + 99y = 501

Posted by Paras Jadhav 5 years ago

ICSE & ISC > Class 10 > Mathematics

1 answers

Yogita Ingle 5 years ago

Let us use a trick to solve it quickly

99x + 101y = 499 ............ i

101x + 99y = 501............ ii

subtract i from ii

2x - 2y = 2
x - y =1
x = 1 + y ........ iii

add i and ii

200x + 200y = 1000
x + y = 5 .................................. iv

Now from iii and iv , we get 1 + y + y = 5 or 2y = 4 or y = 2 ...... v

again from iii and v , we get x = 1 + 2 = 3

Hence x = 3 , y = 2

ANSWER

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