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When 5 times the larger of …

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When 5 times the larger of two numbers is divided by the smaller, the quotient and remainder are 2 and 9 respectively. Form a linear equation in two variables for above and give its two solutions.

Posted by Sadhna Kashyap 8 years, 10 months ago

CBSE > Class 09 > Mathematics

1 answers

Shweta Gulati 8 years, 10 months ago

Let the two numbers be x and y

x>y

5x = 2y+9 { Dividend = Divisor X Quotient + Remainder}

Required linear equation is : 5x-2y-9=0

Solutions:

Put x=1

5=2y+9

2y=-4

y=-2

Also,

take x= 3

15=2y+9

2y=6

y=3

So, solutions are (1,-2) and (3,3)

0Thank You

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CBSE > Class 09 > Mathematics