Question
The ratio of ages of A and B is 4:5 and that of B and C
is 3:2. Find the age of B after 10 years. Statement I: Difference between the ages of C and A after 10 years and the difference between ages of A and B after 10 years is same. Statement II: Difference between ages of A and C is 4 years. Each of the questions given below has one question and two statements marked I and II. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.Solution
ATQ,
We are given: The ratio of ages of A and B 4:5. The ratio of ages of B and C is 3:2. We are tasked with finding B's age after 10 years. Let:
A's age = 4x B's age = 5x, C's age = 10x/3.
Statement I The difference between the ages of C and A after 10 years is the same as the difference between the ages of A and B after 10 years. This implies: (C+10)−(A+10)=(B+10)−(A+10). C−A=B−A. Substituting the values in terms of x: 
Solving for x determines A,B, and C's ages. Statement I is sufficient.
The difference between C and A is 4 years: C − A = 4. Substituting values: 
Simplify: 
Solving for x determines A,B, and C's ages. Statement II is sufficient.
Either Statement I or II alone is sufficient.
The average expenditure of a man for the first 5 month is Rs.4000 and for the next 7 months is Rs.6000. If he saves 10000 in that year then find his ave...
The average of the two numbers is 15, and the square root of their product is 12. What is the difference between the two numbers?
In a class of 50 students, the girls are 76%. The average weight of boys is 62 kg and that of girls is 58 kg. What is the average weight (in kg) of whol...
The average age of 4 children in a family is 30% of the average age of the mother and the youngest child. The total age of the father and the eldest chi...
The average of a set of 's' numbers is 35. If 90 is added to the set, then the average of the set becomes 35.5. Find the value of '4 X (s - 15)'.
Fifteen movie theatres average 600 customers per theatre per day. If six of the theatres close down but the total theatre attendance stays the same, the...
The average Cost Price of two items P and Q is Rs. 500. P and Q are sold at 15% and 25% profit respectively. If the total Selling Price of P and Q is Rs...
Average weight of 50 boxes is 22 kg. Two more boxes of weights (z + 7) and (z - 5) are added and the average becomes 22.5 kg. Find (z - 18).
25 students go for a picnic. 10 of them spent Rs. 64 each on their food and rest spent Rs.4 more than the average expenditure of all 25. What was the to...
A number is such that when it is multiplied by 5, it gives another number which is as much above from 210 as the original number (itself) is below 210. ...
Relevant for Exams:
