Question

Frame line equation in two variable ( x and y ) representing the following information .
i.) the sum of the ages of aruna and anup is 34 years.
ii.) the length of a rectangle is 12 cm more than its breadth.
iii.) the cost of a notebook is twice the cost of a pen.​

Answer 1

Frame simultaneous linear equations in two variables representing the following information:

Sum of the ages of Monali and Sonali is 29 years. Monali is younger than Sonali by 3 years. 

A

x+y=29,x−y=3

B

x+y=29,x−y=−3

C

x−y=29,x+y=3

D

None of these

Medium

Answer

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Correct option is

B

x+y=29,x−y=−3

Let, the present age of Monali be xyrs and that of sonali be yyrs.

As per condition 1 ie., Sum of the ages of Monali and Sonali is 29 years.

The equation becomes,

x+y=29

As per condition 2 i.e., Monali is younger than Sonali by 3 years.

The equation becomes,

x=y−3

∴x−y=−3

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