The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth. What are the length and the breadth of the pool?
The base of an isosceles triangle is cm. The perimeter of the triangle is
. What is the length of either of the remaining equal sides?
Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3 and 4 respectively, they add up to 74. Find these numbers.
The ages of Rahul and Haroon are in the ratio 5 : 7. Four years later the sum of their ages will be 56 years. What are their present ages?
The number of boys and girls in a class are in the ratio 7 : 5. The number of boys is 8 more than the number of girls. What is the total class strength?
Two numbers are in the ratio 5 : 3. If they differ by 18, what are the numbers?
Let the two numbers be 5x and 3x.
According to the condition, we have
                                 5x - 3x =18
or                                      2x = 18
 Â
        Dividing both sides by 2, we have
                                   Â
or                                   Â
∴                                     5x = 5 9 = 45
and                                   3x = 3 9 = 27
∴    The required numbers are 45 and 27.