Questions

The difference of the present ages of two sisters is 5 years and the product of their ages is 204.

1. If the age of the younger sister be x years then write the age of the elder sister in terms of x.
2. Find the value of x.
3. Find the present age of the elder sister.
4. Find their ages after 5 years.

The difference of the present ages of two brothers is 4 years and the product of their ages is 221. 

1. If x and y be the ages of two brothers then write the equation to represent given equations.
2. Find the value of x.
3.  Find the value of y.
4. Find their ages after 5 years.

The difference of the present ages of two sisters is 5 years.

1. If the present age of younger sister be x years then, find the ages of elder sister in terms of.x.
2. Find their ages after 4 years in terms of x.
3. If the product of their ages becomes 104, find the value of x.
4. Find their ages before 2 years.

The difference of the present ages of two brothers is 4 years.

1. If the present age of younger brother be x years then find the ages of elder brother in terms of x.
2. Find their ages before 5 years in terms of x.
3. If the product of their ages before 5 years was 96 then find the value of x.
4. Find their ages after 5 years.

The present ages of a father and his son are 35 years and 12 years respectively.

1. Find the ages of father and son before x years in terms of x.
2. If the product of their ages before x years was 210, find the value of x.
3. Find their ages after 15 years.
4. Find their ages before 10 years. 
    

The present ages of the elder and younger brothers are 13 years and 7 years respectively.

1. Find the ages of two brothers after x years in terms of x.
2. If the product of their ages after x years will be 280, find the value of x.
3. Find their ages after 10 years. 
4. Find their ages before 5 years.

There are 8 baskets full of flowers. The numbers of flowers in each basket form a GP. If the 4$^{th}$ and 6$^{th}$ baskets contain 24 and 96 flowers respectively,

1. Find the number of flowers in the first basket. 
2. Find the number of flowers in the last basket.
3. Find the total number of flowers.

There are 10 varieties of birds in a zoo. The number of birds in each variety being double of the number of another variety. If the number in the first variety is 2,

1. Find the number in the fifth variety.
2. Find the number in the last variety.
3. Find the total number of birds in the zoo.

There are 8 varieties of monkeys in a zoo. The number of each variety forms a GP. If the $\rm 4^{th}$ and $\rm 6^{th}$ variety consist of 54 and 486 monkeys respectively,

1. Find the number in the first variety.
2. Find the number in the last variety.
3. Find the total number of monkeys in zoo.

The sum of the first three terms and the sum of the first six terms of a geometric series are in the ratio 125: 152. Find the common ratio.