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?
Choose the correct option:
A) 10
B) 20
C) 30
D) 40
E) 50
Asha=25 Nisha =n Usha =3n   Asha=2a Nisha =a Usha =34   The difference of all ages must be same   25-2a=n-a=3n-34   We will get two equation   2n+a=34   n+a=25   From the equation we will get n=9 and a=16   The ages are Asha=2a=32 Nisha =16 and Usha =34   Sum of the ages =100   (32+x)+(16+x)+(34+x)=100   82+3x=100   3x=18   x=6   Age of Usha =34+6= 
<gadget id="calculator">34+6</gadget>
<output>40</output>
40   ANSWER:40
<result>D</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?