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?
Since, [number of boys]: [number of girls] = 7 : 5
Let the number of boys = 7x
and the number of girls = 5x
According to the condition, we have
7x = 5x +8
Transposing 5x to LHS, we have
7x - 5x =8
or 2x = 8
Dividing both sides by 2,
x = 8 2 = 4
∴ Number of boys = 7x = 7 4 = 28
Number of girls = 5x = 5 4 = 20
∴ Total class strength = 28 + 20 = 48 students