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- Question
- In 10 years A will be twice as old as B was 10 years ago. If A is now 9 years older than B, what is the present age of B?
Options- A. 38 years
- B. 39 years
- C. 40 years
- D. 41 years
- Correct Answer
- 39 years
ExplanationMethod 1
Let the present age of B and A be x and ( x + 9 ) years; then,
Age of B and A after 10 years will be x + 10 and x + 9 + 10;
According to question,
In 10 years A will be twice as old as B was 10 years ago
2(x - 10) = x + 9 + 10
2x - 20 = x + 19
? 2x - x = 19 + 20
? x = 39 years
Method 2
Let us assume the present age of B and A be x and y years.
According to question,
A is now 9 years older than B,
y = x + 9...........(1)
Again according to question,
In 10 years A will be twice as old as B was 10 years ago
y + 10 = 2( x - 10)................. (2)
now put the value of y from equation (1) in above equation (2)
x + 9 +10 = 2x - 20
? 2x - x = 19 + 20
? x = 39 years
So Present age of B = 39 years. - 1. The ratio of ages of A and B is 3 : 11. After 3 years the ratio becomes 1:3. What are the ages of A and B?
Options- A. 9 years, 33 years
- B. 10 years, 40 years
- C. 9 years, 27 years
- D. None of these Discuss
- 2. SPECIFICATION
Options- A. PACIFIC
- B. FACTION
- C. FAINTING
- D. TONIC Discuss
- 3. PERMANENT
Options- A. REMNANT
- B. TRAMP
- C. MENTOR
- D. AMPERE Discuss
- 4. Reasonable
Options- A. Bones
- B. Brain
- C. Arson
- D. Noble Discuss
- 5. Workshop
Options- A. Show
- B. Crow
- C. Work
- D. Pork Discuss
- 6. Radha get married 6 years ago. Today her age is 1 1/ 4 times her age at the time of marriage. Her son's age is 1/10 times her age. Her son's age is :
Options- A. 1 years
- B. 2 years
- C. 3 years
- D. 4 years Discuss
- 7. Two years ago, the ratio of Ram's and Mohan's age was 3 : 2 and at present 7 : 5. What are their present ages?
Options- A. 14 years, 10 years
- B. 15 years, 10 years
- C. 13 years, 9 years
- D. None of these Discuss
- 8. One year ago, the ratio of Yamini and Gamini's was 6 : 7 respectively. Four year hence, the ratio would become 7 : 8. Find the age of Gamini?
Options- A. 30 years
- B. 32 years
- C. 36 years
- D. 40 years Discuss
- 9. The ages of Surabhi and Neerja are in the ratio of 6 : 7 respectively. After 6 years the ratio of their ages will be 15 : 17. Find the age of Neerja.
Options- A. 24 years
- B. 26 years
- C. 28 years
- D. 32 years Discuss
- 10. The average age of a woman and her daughter is 42 years. The ratio of their ages is 2 : 1 respectively. Find the daughter's age.
Options- A. 24 years
- B. 28 years
- C. 30 years
- D. 32 years Discuss
Problems on Ages
Search Results
Correct Answer: 9 years, 33 years
Explanation:
Let us assume the ages of A and B be 3x and 11x years; then
After 3 years the ages of A and B will be 3x + 3 and 11x + 3.
According to question,
After 3 years the ratio of the ages becomes 1: 3,
(3x + 3)/(11x + 3) = 1/3
? 3 (3x + 3) = 1 (11x + 3)
? 9x + 9 = 11x + 3
? 2x = 6
? x = 3
Hence, their present age, 3x = 3 x 3 = 9 years; 11x = 11 x 3 =33 years
Correct Answer: FAINTING
Explanation:
The word which cannot be formed from 'SPECIFICATION' is 'FAINTING', because 'G' is not present in given word.
Correct Answer: MENTOR
Explanation:
Only 'MENTOR' is the word which cannot be formed due to absence of letter 'O'.
Correct Answer: Brain
Explanation:
By using the letters of the given word 'Reasonable ',
'Brain' is the only word which cannot be formed due to the absence of letter 'i'.
Correct Answer: Crow
Explanation:
By using the letters of the given word Workshop
'Crow' is the only word which cannot be formed due to the absence of letter 'C'.
Correct Answer: 3 years
Explanation:
Let us assume the present age of Radha be Y years; then
Before 6 years Radha's age will be Y - 6 years.
According to question,
Today her age is 11/4 times her age at the time of marriage,
5/4 ( Y - 6 ) = Y ( Since 11/4 = 5/4 )
? 5Y - 30 = 4Y
? Y = 30 years
Hence, her son's age = 30 x 1/10 =3 years
Correct Answer: 14 years, 10 years
Explanation:
The ratio of Ram's and Mohan's present age is 7 : 5.
Let us assume the present ages of Ram and Mohan are 7Y and 5Y years.
2 Years ago the age of Ram and Mohan will be 7Y - 2 and 5Y - 2 years.
According to question,
Two years ago, the ratio of Ram's and Mohan's age was 3 : 2, then
(7Y -2)/(5Y - 2) = 3/2
? (7Y -2) x 2 = 3 x (5Y - 2)
? 14Y - 4 = 15Y - 6
? Y = 2
Hence, their present ages = 7 x 2 = 14 years and 5 x 2 = 10 year
Correct Answer: 36 years
Explanation:
Let one year ago the ages of Yamini and Gamini were 6P and 7P years respectively; then
(6P + 5)/(7P + 5) = 7/8
? (6P + 5) x 8 = 7 x (7P + 5)
? 48P + 40 = 49P + 35
? P = 5
Hence, present ago of Gamini = 7P + 1 = 7 x 5 + 1 = 36 years
Correct Answer: 28 years
Explanation:
Let the present ages of Surabhi and Neerja are 6x and 7x years respectively.
According to question,
(6x + 6)/(7x + 6) = 15/17
? (6x + 6)x17 = 15x(7x + 6)
? 102x + 102 = 105x + 90
? 3x = 12
? x = 4
Hence, present ages of Neerja = 7 x 4 = 28 years
Correct Answer: 28 years
Explanation:
Let us assume the present ages of woman and her daughter be 2x and x years respectively ; then
According to question,
The average age of a woman and her daughter is 42 years
(2x + x)/2 = 42
? 3x = 84
? x = 28
Hence, present age of her daughter = 28 years
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