Q17 of 90 Page 113

The sum of two numbers is 95. If one exceeds the other by 15, then the smaller of the two is

Let the numbers be x and 95 - x

⇒ 95 - x - x = 15

By cross multiplication

⇒ - 2x = - 80

⇒ x = 40

So, the numbers are 40 and 95 – 40 = 55

The base of an isosceles triangle is 6 cm and its perimeter is 16 cm. Length of each of the equal sides is

Sum of three consecutive integers is 51. The middle one is

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. The total class strength is

Subtract 4a² + 5b² - 6c² + 8 from 2a² - 3b² - 4c² - 5.