Q1. If two consecutive natural number's sum is 55 then find the numbers with help of linear equation.
Q2. If length of a rectangle is 3 cm more than its breadth & its perimeter is 22 cm. Then find length & breadth of this rectangle.
Q3. A box contains 19 balls having numbers 1, 2, 3, .... 19. A ball is picked randomly from box. What is the probability that the number on ball is divisible by 5?
Answers
Step-by-step explanation:
Given Questions:-
Q1. If two consecutive natural number's sum is 55 then find the numbers with help of linear equation.
Q2. If length of a rectangle is 3 cm more than its breadth & its perimeter is 22 cm. Then find length & breadth of this rectangle.
Q3. A box contains 19 balls having numbers 1, 2, 3, .... 19. A ball is picked randomly from box. What is the probability that the number on ball is divisible by 5?
Solutions:-
Q1.
Let the two consecutive natural numbers be x,x+1
Their sum=x+x+1=2x+1
According to the given problem,
Their sum=55
=>2x+1=55
=>2x=55-1
=>2x=54
=>x=54/2
=>x=27
x+1=27+1=28
Answer:-
The two consecutive natural numbers=27 and 28
Check:-
27+28=55
verified the given relation.
Q2.
Let the breadth of a rectangle be "X" cm
The length of the rectangle =breadth+3 cm
=(X+3 )cm
Perimeter of the rectangle=2(length+breadth)
=>P=2(X+3+X) cm
=>P=2(2X+3) cm
=>P=4x+6 cm
According to the given problem
Perimeter of the given rectangle=22 cm
=>4x+6=22
=>4x=22-6
=>4x=16
=>x=16/4
=>x=4 cm
Hence breadth=4cm
Length=4+3=7cm
Answer:-
Length of the rectangle=7cm
Breadth of the rectangle=4cm
Check:-
Perimeter=2(7+4)=2(11)=22cm
Length=4+3=breadth+3 cm
Verified the given relations
Q3.
Total number of balls in the box=19
The numbers on the balls=1,2...19
Total number of possible outcomes=19
Among them numbers are divisible by 5=5,10,15
Number of favourable outcomes=3
Probability of an event P(E)=
No.of favourable outcomes/Total no.of all possible outcomes
It is a random experiment,Picking a ball from the box is an event
Probability of getting a number which is divisible by 5=P(5)=3/19
Answer:-
Probability of getting a number which is divisible by 5=3/19
Used formulae:-
- Perimeter of the rectangle=2(length+breadth) units
- Probability of an Event P(E)= Number of favourable outcomes/Total number of all possible outcomes.
answer is in attachment
