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1) The ratio of the present ages of A, B and C is 5:4:7. The sum of the ages of A, B and C 8 years ago is 56 years. If the ratio of the ages of B to D after 12 years is 2:3, then what is the present age of D?
A.32 years
B.36 years
C.40 years
D.48 years
E.56 years
2) The ratio of present age of Amir and Abi is 4 : x. 6 years ago, the age of Amir and the age of Abi, 5 years hence is in the ratio of 2 : 5 and After 10 years, the sum of their ages is 56 years. Find the value of x?
A.7
B.5
C.4
D.6
E.None of these
3) The ages of A and B is in the ratio of 7:8. After 8 years, the ratio of their ages will be 9:10. What is the sum of the ages of A and B, 7 years ago?
A.40 years
B.60 years
C.55 years
D.48 years
E.None of these
4) Sum of the ages of A and B five years hence is 60 and the ratio between the age of A, 4 years ago and age of B, 4 years hence is 9:16, find the present age of B?
A.22 years
B.28 years
C.24 years
D.26 years
E.27 years
5) The age of Raghav is   9 1/3 times that of his daughter. 13 years ago, Raghav’s age was 5 times the present age of his daughter now. What will be the sum of the ages of Raghav and his daughter 4 years from now?
A.39 years
B.43 years
C.47 years
D.41 years
E.None of these
6) The present average age of three persons A,B and C is 40 years. The ratio of age of A and B, 5 years ago is 4:7. The present age of C is 120% more than that of A. Find present age of B
A.40 years
B.33 years
C.26 years
D.35 years
E.None of these
7) The present age of Anushiya is 40% more than the present age of Yamuna. 24 years hence, the age of Yamuna is 20% less than that of Anushiya. If the ratio of the present age of Yamuna to Yamini is 4:3, then what is the average age of Yamini and Anushiya?
A.41 years
B.43 years
C.44 years
D.40 years
E.42 years
8) The ratio of the age of Khalid 6 years hence to age of Elango 5 years hence is 5:6, if the age of Elango 5 years ago is as same as age of Khalid 4 years hence, then find the sum of the Present ages of Khalid and Elango.
A.76 years
B.74 years
C.75 years
D.77 years
E.78 years
9) The sum age of A and B after 4 years is 28. If the ratio of the present age of A to B is 3: 2, then find the average of their ages after 6 years.
A.10 years
B.16 years
C.12 years
D.8 years
E.None of these
10) Ratio of the ages of Rahul to Sam is 4:3 and the ratio of the ages of Sam to David is 2:3. If the average age of Rahul and David is 25.5 years, then find the present age of Sam?
A.15 years
B.18 years
C.21 years
D.24 years
E.None of these
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Answers :
1) Answer: B
5x – 8 + 4x – 8 + 7x – 8 = 56
x = 5
B’s age = 4 * 5 = 20 years
B’s age after 12 years = 20 + 12 = 32 years
D’s age after 12 years = 32 * 3/2 = 48 years
D’s present age = 48 – 12 = 36 years
2) Answer: B
The ratio of present age of Amir and Abi = 4 : x
6 years ago, the age of Amir and the age of Abi, 5 years hence is in the ratio = 2 : 5 (2y, 5y)
Present age of Amir and Abi = 2y + 6, 5y – 5
After 10 years, the sum of their ages = 56 years
Given,
2y + 6 + 5y – 5 + 20 = 56
7y + 21 = 56
7y = 35
y = 5
Present age of Amir and Abi = 16 and 20
The ratio of present ages of Amir and Abi = 16 : 20 = 4 : 5
So, x = 5
3) Answer: E
(7x + 8)/(8x + 8) = 9/10
72x + 72 = 70x + 80
2x = 8
x = 4
Present age of A = 7 * 4 = 28 years
Present age of B = 8 * 4 = 32 years
Required sum = 28 + 32 – 14 = 46 years
4) Answer: B
Let present age of A = a, present age of B =b
It is given that, a+5+b+5=60
a+b=50
It is also given that,
16a-64= 9b+36
16a-9b =100
By solving the above equations we get, a=22, b=28
Present age of B=28 years
5) Answer: A
6) Answer: A
Let the age of A 5 years ago = 4a
Present age of A = 4a + 5
Let the age of B 5 years ago = 7a
Present age of B = 7a + 5
Age of C = 2.2 x (4a + 5) = 8.8a + 11
Sum of ages of all three persons = 40 x 3 = 120
4a + 5 + 7a + 5 + 8.8a + 11 = 120
19.8a = 99
a = 5
So present age of B = 7 x 5 + 5 = 40 years
7) Answer: B
Present age of Yamuna = 5x
Present age of Anushiya = 5x * 140/100 =7x
7x + 24/5x + 24 = 100/80
25x + 120 = 28x + 96
3x = 24
x = 8 years
Present age of Yamuna = 5 * 8 = 40
Present age of Anushiya = 7 * 8 = 56
Present age of Yamini = ¾ * 40 = 30
Required average = (30 + 56)/2= 43 years
8) Answer: D
Let present age of Elango is ‘x’
Therefore, (x-5) = Present age of Khalid + 4
Present age of Khalid = x-9
Given ratio, Â =Â (x-9+6)/(x+5)=5/6
x=43
Sum of the present age of Elango and Khalid = 43+ (43-9) = 77years
9) Answer: B
Ratio of present age of A and B = 3: 2
A’s age 4 yrs after = 3X + 4
B’s age 4 yrs after = 2X + 4
Sum of A’s and B’s age = 3X + 4 + 2X + 4 = 5X + 8 = 28
X = 4
Therefore, present age of A = 3 x 4 = 12 yrs
& present age of B = 2 x 4 = 8 yrs
Average of A & B after 6 yrs = (12 + 6) + (8 + 6) = 32/2 = 16 years
10) Answer: B
Ratio of the ages of Rahul, Sam and David = 8:6:9
8x + 9x/2 = 25.5
17x = 51
X = 3
Sam age = 6 * 3 = 18 years
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