Problems on Ages
- At present, Anil is 1.5 times of Purvi's age. 8 yr hence, the respective ratio between Anil and Purvi's ages will be 25 : 18 What is purvi's present age?
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Let age of Purvi = N yr
Then, age of Anil = 1.5N yr
According to the question,
(1.5N + 8)/(N + 8) = 25/18Correct Option: B
Let age of Purvi = N yr
Then, age of Anil = 1.5N yr
According to the question,
(1.5N + 8)/(N + 8) = 25/18
⇒ 27N + 144 = 25N + 200
∴ N = 56/2 = 28
Hence, present age of Purvi = 28 yr
- The average age of 9 students and their teacher is 16 yr. The average age of the first four students is 19 yr and that of the last five is 10 yr. The teacher's age is ?
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∵ Total age of 9 students and a teacher = 10 x 16 = 160 yr
Total age of first 4 students = 4 x 19 = 76 yr
and total age of last 5 students = 5 x 10 = 50 yrCorrect Option: B
∵ Total age of 9 students and a teacher = 10 x 16 = 160 yr
Total age of first 4 students = 4 x 19 = 76 yr
and total age of last 5 students = 5 x 10 = 50 yr
∴ Age of teacher = 160 - 76 - 50 = 34 yr
- The sum of the present ages of Varun and Kapil is 42 yr. The ratio of their ages after 5 yr will be 15 : 11. What is the present age of Kapil?
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Let the present age of Varun be M and present age of Kapil be N.
According to the questions,
M + N = 42 ...(i)
Again, according to the question, After 5 yr,
(M + 5)/(N + 5) = 15/11
⇒ 11M + 55 = 15N + 75
⇒ 11M - 15N = 20 ...(ii)Correct Option: A
Let the present age of Varun be M and present age of Kapil be N.
According to the questions,
M + N = 42 ...(i)
Again, according to the question, After 5 yr,
(M + 5)/(N + 5) = 15/11
⇒ 11M + 55 = 15N + 75
⇒ 11M - 15N = 20 ...(ii)
On solving Eqs. (i) and (ii),
⇒ N = 17 yr
Hence, present age of Kapil = 17 yr
- In a family, the average age of father and mother is 35 yr. The average age of the father, mother and their only son is 27 yr. What is the age of the son ?
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∵ Total age of father and mother = 35 x 2 = 70 yr
and total age of father, mother and son = 27 x 3 = 81 yrCorrect Option: B
∵ Total age of father and mother = 35 x 2 = 70 yr
and total age of father, mother and son = 27 x 3 = 81 yr
&there4: Age of son = 81 -70 = 11 yr
- The average of the present ages of Sachin and Saurabh is 36 yr. If Sachin is 8 yr older than Saurabh, what is the saurabh's present age?
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∵ Total age of Sachin and Saurabh = 36 x 2 = 27 yr
Let age of Saurabh = x yr
Then, age of Sachin = (x + 8) yr
According to the question, x + x + 8 = 72Correct Option: C
∵ Total age of Sachin and Saurabh = 36 x 2 = 27 yr
Let age of Saurabh = x yr
Then, age of Sachin = (x + 8) yr
According to the question, x + x + 8 = 72
⇒ 2x = 64
∴ x = 32
Hence, Saurabh's present age = 32 yr