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CBSE Class 10 Answered

At present Asha's age is 2 more than the square of her daughter Nisha's age. When Nisha grows to her mother's present age, Asha's age would be one year less than 10 times the present age of Nisha. Find the present ages of both Asha and Nisha.
Asked by Zakia Rumman | 10 Feb, 2015, 01:08: PM
answered-by-expert Expert Answer
L e t space apostrophe x apostrophe space b e space t h e space p r e s e n t space a g e space o f space N i s h a. F r o m space t h e space g i v e n space s t a t e m e n t comma space A s h a apostrophe s space a g e equals x squared plus 2 N i s h a space g r o w s space t o space h e r space m o t h e r apostrophe s space p r e s e n t space a g e space a f t e r space x squared plus 2 minus x space y e a r s. A f t e r space x squared plus 2 minus x space y e a r s comma space A s h a apostrophe s space a g e equals x squared plus 2 plus x squared plus 2 minus x G i v e n space t h a t comma space a f t e r space x squared plus 2 minus x space y e a r s comma space a s h a apostrophe s space a g e space w o u l d space b e space o n e space y e a r space l e s s space t h a n space 10 space t i m e s space t h e space p r e s e n t space a g e space o f space N i s h a. rightwards double arrow x squared plus 2 plus x squared plus 2 minus x equals 10 x minus 1 rightwards double arrow 2 x squared plus 4 minus x equals 10 x minus 1 rightwards double arrow 2 x squared plus 4 minus 11 x plus 1 equals 0 rightwards double arrow 2 x squared minus 11 x plus 5 equals 0 rightwards double arrow 2 x squared minus 10 x minus x plus 5 equals 0 rightwards double arrow 2 x open parentheses x minus 5 close parentheses minus 1 open parentheses x minus 5 close parentheses equals 0 rightwards double arrow open parentheses 2 x minus 1 close parentheses open parentheses x minus 5 close parentheses equals 0 rightwards double arrow x minus 5 equals 0 space o r space rightwards double arrow 2 x minus 1 equals 0 rightwards double arrow x equals 5 space o r space x equals 1 half T h u s comma space p r e s e n t space a g e s space o f space N i s h a space a n d space A s h a space r e s p e c t i v e l y space a r e colon 5 space a n d space 5 squared plus 2 equals 5 space a n d space 27
Answered by Vimala Ramamurthy | 11 Feb, 2015, 09:52: AM

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CBSE 10 - Maths
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