when usha was thrice as old as nisha, her sister aasha was 25 when nisha was half as old as aasha , then sister usha was 34 their ages add to 100 how old is usha?
Answers
let there be two cases
GIVEN
State1: Usha's age =3x, Nisha's age=x, Asha's age=25
State2: let after some years "t"
Usha's age =3x+t, Nisha's age=x+t, Asha's age=25+t
condition1:
(3x+t)+(x+t)+(25+t)=100
On solving gives 4x+3t=75. eq1
condition2: 3x+t=34 eq2
condition3: x+t=1//2(25+t)
On solving gives 2x+t=25->eq3
solve eq2 & eq3 then we get x= 9
Case1: If you substitue "x"' value in eq2 or eq3 we get t=7
Usha's age=34, Nisha's age =16, Asha's age= 32
their sum= 82 is not equal to 100
Case2: If you substitue "x"' value in eq1 we get t=13
Usha's age=40, Nisha's age =22, Asha's age= 38
their sum= 100 satisfies given condition
Therefore, Usha's age is 40