Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
The sum of ages of Amit and Amita is 15 years more than the sum of ages of Amita and Amrita. How many years younger is Amrita as compared to Amit?
12
13
19
15
15
Since Amita's age is present on both sides, it cancels out immediately. The difference is directly determined by the given constant.
Sum of Amit's age and Amita's age is 15 years more than the sum of Amita's age and Amrita's age.
(Amit+Amita)=(Amita+Amrita)+15
Since Amita's age is present on both sides, it cancels out immediately. The difference is directly determined by the given constant.
Students often try to assign arbitrary values to the individual ages (e.g., let Amita be 10), which is unnecessary and time-consuming.
Define variables
Let the ages of Amit, Amita, and Amrita be represented by A1тАЛ, A2тАЛ, and A3тАЛ respectively.
Amit=A1тАЛ,Amita=A2тАЛ,Amrita=A3тАЛ
Set up the equation
According to the problem, the sum of Amit and Amita's ages is 15 years more than the sum of Amita and Amrita's ages.
A1тАЛ+A2тАЛ=(A2тАЛ+A3тАЛ)+15
Solve for the difference
Subtract A2тАЛ from both sides to isolate the relationship between A1тАЛ and A3тАЛ.
A1тАЛ=A3тАЛ+15тЯ╣A1тАЛтИТA3тАЛ=15
Interpret the result
The equation A1тАЛтИТA3тАЛ=15 indicates that Amit is 15 years older than Amrita, which means Amrita is 15 years younger than Amit.
15
D is correct because by cancelling the common variable (Amita) from both sides of the equation, we find that Amit is 15 years older than Amrita.
This concept of cancelling common terms is essential in solving complex ratio and mixture problems, saving significant time during exams.
Get instant step-by-step AI explanations, full shift Previous Year Papers (SSC GD, RRB, SSC JE), and regional rank analysis on the official Examoogle App.
Free Download тАв 100K+ Aspirants