Question

five years ago parvathi was thrice old as lakshmi ten years later parvathi will be twice as old as lakshmi .how old are parvathi and lakshmi

Answer 1

Hey!
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Let the present age of lakshmi be X years

Let the present age of Parvathi be Y years


According to the given question:
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3( X - 5 ). = ( Y - 5 )

3X - 15 - Y + 5 = 0

3X - Y - 10 = 0 ...................(1)



2( X + 10 ). = ( Y + 10 )

2X + 20 - Y - 10 = 0

2X - Y + 10 = 0.................(2)


SOLVE (1) AND (2) BY ELIMINATION
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3X - Y - 10 = 0
2X - Y + 10 = 0

- + -


X - 20 = 0

X = 20


Put X = 20 in (1)

3 × 20 - Y - 10 = 0

60 - 10 - Y = 0

50 - Y = 0

Y = 50


✨Age of Lakshmi ( X ) = 20 years

✨Age of Parvathi ( Y ) = 50 years .


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