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:  A) 40  B) 41  C) 42  D) 43  E) 45
Let the age of Usha is 3x then Nisha is x and Asha is 25   Also Usha 34, Nisha y, and Asha 2y.   We know that 3x - 34 = x - 2y = 25 - 2y   Solving above three equations we get x = 9, y = 16   Their ages are 34, 16, 32. whose sum = 82. So after 18 years their ages will be equal to 100. So Usha age is  34 + 6= 
<gadget id="calculator"> 34 + 6</gadget>
<output>40</output>
40   40nswer:40
<result>A</result>
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?