Math, asked by BCRN, 9 months ago

When usha was thrice as old as nisha, her sister asha was 25. When nisha was half as old as asha, then usha was 34 . If ther ages add up to 100. How old is usha?

Answers

Answered by rolicutie
1

Answer:

hi here is your answer it will help you in this question

Step-by-step explanation:

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=40

Answered by ayushyadav143
0

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

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