Exercise 7.2
1. Which of following sets of linear equations are equivalent?
a) \( x+2=9 \) and \( x+5=6 \)
b) \( x+2=8 \) and \( 11+x=17 \)
c) \( x+9=-15 \) and \( x-6=-30 \)
d) \( x+16=17 \) and \( x-2=9 \)
d. The length and width of a rectangle are consecutive odd integers and the perimeter is 168 cm . Find the length and width of the rectangle.
3. Anita is twice as old as her brother. In 6 years from now, the sum of their ages will be 39 . How old are they now?
4. Eleven less than seven times a number is five more than six times the number. Find the number.
[1] (c)
5. A number plus itself, plus twice itself, added to 4 times itself equals 104 . What is the number?
6. Find three consecutive odd integers such that the sum of the first number, two less than the second number and three more than the third number is 70 .
7. There are 320 books and magazines altogether in a bookshop. There are three times as many books as magazines. How many books are there?