Learn
QUESTION
Q
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...
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 ?
A
37
B
44
C
45
D
40
E
42
A
37
B
44
C
45
D
40
E
42
Solution
Let, the age of Usha be = 3a
Then Nisha’s age is = a and
Given Asha’s age is = 25
Also when Usha’s age is = 34
Then let Nisha’s and Asha’s age be b and...
Let, the age of Usha be = 3a
Then Nisha’s age is = a and
Given Asha’s age is = 25
Also when Usha’s age is = 34
Then let Nisha’s and Asha’s age be b and 2b respectively.
We know that 3a – 34 = a – 2b = 25 – 2b
Solving above three equations we get a = 9, b = 16
Their ages are 34, 16, 32
Sum of their ages = 34 + 16 + 32 =82
So after 18 years their ages will be = 100
So Usha’s age is = 34 + 6 = 40 years
Register & Unlock access to Prep for free
Solution
.hez-title-solution{display: none;}
Keynote
#hez-keynote-title{display: none;}
0
Simple Equations questions available for your Free Practice
0
Quantitative Ability questions available for your Free Practice
Practice
0
questions for Free
