In this page question5 and 6 we are going to see solution for fifth and sixth questions.We have explained these problems in a interactive manner.

**Question 5:**

The sum of the present ages of kiran and Kate is 60 years. If the ratio of their present ages be 7:8, find their present age.

**Solution:**

Sum of their ages = 60

Let "7x" be the age of Kiran

Let "8x" be the age of Kate

Age of Kiran + Age of Kate = 60

7x + 8x = 60

15x = 60

x = 60/15

x = 4

Age of Kiran = 7x = 7 (4) = 28 years

Age of Kate = 8x = 8 (4) = 32 years

So the correct option is **(A) 28 years , 32 years**

**Question 6:**

Andrea is three times as old as her sister Anu. Three years ago, she was two years less than four times the age of her sister. Find their present ages.

**Solution:**

Let "x" be the age of Anu

Let "3x" be the age of Andrea

Three years ago their ages was

Age of Anu = x - 3

Age of Andrea = 3x - 3

According to the given condition

Age of Andrea = two years less than four times the age of Anu

3x - 3 = 4 (x-3) - 2

3x - 3 = 4(x) - 4(3) - 2

3x - 3 = 4x - 12 - 2

3x - 3 = 4x - 14

3x - 4x = -14 + 3

-x = - 11

x = 11

Age of Andrea = 3 x = 3 (11) = 33 years

Age of Anu = x = 11 years

So the correct option is **(C) 33 years , 11 years**