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Concept - Ages



In  problems on ages,  ratio’s of ages of two persons at two different points of time are given and we are required to calculate their ages at a given point of time.

In this section, we learn to solve these problems without making the equations with the help of Rules learnt inRatio and Proportion Chapter.

 

Note: Always calculate … present ages


Whenever, hence given add for present ages.

Whenever, ago given subtract from present ages

 

 

Eg 1 :The average age of a husband and wife was 22 years, when they were married 6 years ago. Now they have child of 4 years age. What is the average age of their family at present.

 

Solution:

Sum of the ages of husband and wife 6 years ago = 2 * 22 = 44 years

At Present Their total age is = 44 + 6 + 6 = 56 Years

Sum of the ages of husband, wife and child at present = 56 + 4 = 60

Therefore Average age of whole family at present is = 60/3 = 20 years

 

Eg 2:The average age of 28 students of a class is 12. If their teacher is joined, their average increases by one year. Find the age of the teacher.

 

Solution:

28 students total age = 28 * 12 = 336 years

29 persons (students + teacher) total age = 29 * 13 = 377 years

Teacher's age = 377 - 336 = 41 Years.

 

 

Practice following examples

 

1)The average age of a wife and husband who were married 10 years ago, was 20 years then, including a child the present average age of the family is 23 years. What is the present age of the child?

1)6 years 2)9 yeas 3)12 years 4)5 years

Ans: 9 years

 

2)The average age of a class is 20 years. When the age of the teacher is included, the average will be increased by one year. What is the age of the teacher?

1)28 years 2)26 years 3)20 years 4)data inadequate

Ans: Data Adequate

 

 

3)At present Sohan is 12 years older than Mohan. Afater 10 years Mohan will be 25 years old. What is Sohan's present age?

1)25 years 2)29 years 3)27 years 4)23 years

Ans: 27 years

 

4)At present Laxmi is 6 years younger than Malini. After 5 years Malini will be 15 years old. What will be the age of Laxmi 4 years hence.

1)4 years 2)6 years 3)12 years 4)8 years

Ans: 8 years

 

5)The ratio between the ages of Mamatha and Samatha is 5:3. After 5 years, the sum of their ages will be 74 years. What is the present age of Samatha?

1)12 years 2)20 years 3)16 years 4)24 years

Ans: 24 years

 







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