Question

3. Form an equation for the following cases. (a) The sum of two consecutive numbers is 51.
(b) Saurabh is 6 years older than his sister Isha. The sum of their ages is 24.
(c) A number added to its half gives 33.
(d) Length of a rectangle is 6 m less than twice its breadth. The perimeter of the rectangle is 240 m.
(e) In an isosceles triangle, the vertex angle is thrice of either base angle.
(f) Vaibhav's father's age is 4 years more than three times of Vaibhav 's age. Vaibhav's father is 43 years old.
(g) Rahul scored twice as many runs as Gautam. The sum of their runs is 5 less than a double century.
(h) In a class of 35 students, the number of girls is 2/5 of the boys .​

Answer 1

Answer:

a)x+x+1=51

2x+1=51

2x=51-1

2x=50

x=50/2

x=25

b)Let x be the age of saurav and y be the age of isha

Then, y+6=x

x+y=24

c)22 is the number which when added to its half gives 33.