Form a pair of linear equations in two variables using the following information and solve it graphically.
Five years ago, Sita was twice as old as Rema. Ten years later Sita's age will be 10 years more than Rema's age. Find their present ages.
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Explanation:
Suppose 5 years ago, Rema's age be x years and Sita's age=2x years
Rema's present age =x+5 years
Sita's present age = 2x+5 years
After 10 years,
- Rema's age will be x+15
- Sita's age will be 2x+15
ACQ
2x+15-(x+15)=10
2x+15-x-15=0
x=10
Rema's present age = 10 + 5 = 15 years
Sita's present age=2×10+5=25 years
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