KeyPoints :
1) Let a person present age be x years then Same person age before 10 years be x-10
2) Let a person present age be x years then Same person age After 10 years be x+10
3) Let a person present age be x years then Same person age hence 10 years be x+10
4) Let a person present age be x years then a) Same person age 10 years ago be x-10
Problems :
1) Father is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit's age. After further 8 years, how many times would he be of Ronit's age?
| 2 times |
| ||||||
| 3 times |
Solution : Let Ronit's present age be x years. Then, father's present age =(x + 3x) years = 4x years.
| | (4x + 8) = | 5 | (x + 8) |
| 2 |
8x + 16 = 5x + 40
3x = 24
x = 8.
| Hence, required ratio = | (4x + 16) | = | 48 | = 2. |
| (x + 16) | 24 |
2) The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
| 4 years | 8 years | ||
| 10 years | None of these |
Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50
5x = 20
x = 4.
Age of the youngest child = x = 4 years.
3) A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:
| 14 years | 19 years | ||
| 33 years | 38 years |
2x = 38.
x = 19.
Son's age 5 years back (19 - 5) = 14 years.
4) A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?
| 7 | 8 | ||
| 9 | 10 |
(2x + 2) + 2x + x = 27
5x = 25
x = 5.
Hence, B's age = 2x = 10 years.
5) Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagar's age at present?
| 16 years | 18 years | ||
| 20 years | Cannot be determined |
| Then, | (6x + 6) + 4 | = | 11 |
| (5x + 6) + 4 | 10 |
10(6x + 10) = 11(5x + 10)
5x = 10
x = 2.
Sagar's present age = (5x + 6) = 16 years.8) A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
| 14 years | 18 years | ||
| 20 years | 22 years |
(x + 24) + 2 = 2(x + 2)
x + 26 = 2x + 4
x = 22.
9) At present, the ratio between the ages of Arun and Deepak is 4 : 3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present ?
| 12 years | 15 years | ||
| 19 and half | 21 years |
4x + 6 = 26
4x = 20
x = 5.
Deepak's age = 3x = 15 years.
10) Five years ago, John’s age was half of the age he will be in 8 years. How old is he now?
Solution : Let x be John’s age now.
x-5=1/2(x+8)
x-5=x/2+4
x-x/2=5+4
x/2=9
x=18 years
11) .My brother is 3 years elder to me. My father was 28 years of age when my sister was born while my father was 26 years of age when i was born. If my sister was 4 years of age when my brother was born,then what was the age my father and mother respectively when my brother was born.
a) 32 yrs, 23yrs b)32 yrs, 29yrs c)35 yrs,29yrs d)35yrs,33 yrs
a) 32 yrs, 23yrs b)32 yrs, 29yrs c)35 yrs,29yrs d)35yrs,33 yrs
Solution: My brother was born 3 years before I was born & 4 years after my sister was born.
Father's age when brother was born = 28+4 = 32 years.
Mother's age when brother was born = 26-3 = 23 years.
Mother's age when brother was born = 26-3 = 23 years.
12 ) If 6 years are subtracted from the present age of Gagan and the remainder is divided by 18,then the present age of his grandson Anup is obtained. If Anup is 2 years younger to Madan whose age is 5 years,then what is Gagan's present age.
a) 48 years b)60 years c)84 years d)65 years
Solution: Let us assume Gagan present age is 'x' years.
Anup age = 5-2 = 3 years.
(x-6) / 18 = 3
x-6 = 54
x=60 years
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