when usha was thrice as old as Nisha her sister Asha was 25 . When Nisha was half as old as Asha, then sister Usha was 34. Their ages add to 100. How old is Usha??
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Answer:
okk ans is 40 years
Step-by-step explanation:
Let the present age of usha, asha and misha be u3, a3, and m3 respectively.
We have at some past time, u1 = 3 * m1 ; a1 = 25.
Say after t years,
m1 + t = 0.5 * ( a1+t) ; u1 + t = 34.
We have,
2*m1 + t = 25 and 3*m1 + t = 34
which gives m1 = 9, u1 = 27 and a1 = 25.
Say at present, their ages are m3= 9+T, u3=27+T and a3 = 25+T
They should add up to 100, giving T = 13
Thus present age of Usha is 40 years.
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