# Question5 and 6

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

Question5 and 6 to Worksheets on ages