Math, asked by sharma123vidhu, 5 months ago

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??

Answers

Answered by vedantimore2003
3

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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