Q18 of 54 Page 77

Three times the smallest of three consecutive odd number decreased by 7 equal twice the largest one. Find the number.

Let three consecutive odd numbers be x, x + 2, x + 4

Eg - : If first odd number is one then other two will be 3 = 1 + 2 and 5 = 1 + 4


Smallest consecutive number = x


Largest consecutive number = x + 4


According to the question,


3x – 7 = 2(x + 4)


3x – 7 = 2x + 8


3x – 2x = 7 + 8


x = 15


First number = x = 15


Second number = x + 2 = 15 + 2 = 17


Third number = x + 4 = 15 + 4 = 19


More from this chapter

All 54 →
16

The difference between two numbers is 642. When the greater no is divided by the smaller the quotient is 8 and the remainder is 19. Find the number.

 17

A man travels 370 km partly by train and partly by car. If he covers 250 km by train and the rest by car it takes him 4 hours but if he travels 130km by train and the rest by the car he takes 18 min. longer. Find the speed of the train and car.

 19

Two years later a father will be 8 yrs more than three times the age of the son. Taking the present age of father and son as x and y respectively. Write a linear equation for the above.

 20

A farmer counts nine heads and 24 legs of Chickens and cows. How many has each of these Chickens and cows?