Hii friends please tell my all 1 and 2 question.
1. Set up equations and then solve them to find the unknown numbers in the following cases:
(a) Find a number which when added to its half gives 42.
(b) Add 7 to 6 times a number, you get 73.
(c) One sixth of a number minus 5 gives 31. (d) Seven taken away from twice a number is 27.
(e) Tushar subtracted thrice the number of story books he has from 100, he finds that the number is 34.
(f) A number multiplied by 4 gives 64.
(g) Sum of two consecutive numbers is 45. (h) One number exceeds the other by 9 and their sum is 81.
(i) A number when multiplied by 4 is 33 mo than itself.
(j) Father is three times son's age and the sum of their ages is 100. Find son's age.
2. Solve the following:
(a) Perimeter of a rectangle is 96 m. Its length is 3 times its width. Find its length and breadth.
(b) Perimeter of a rectangular plot is 860 m. Its length is 4 more than its breadth. Find its length and breadth.
(c) In an isosceles triangle, the base angles are equal, the vertex angle is 50°. What are the base angles?
(d) Divide 64 into two parts such that one part is 3 times the other.
(e) In a cricket match, Rajat scored thrice as many run as Devansh. Together they fell short of 8 runs of a triple century. Find their scores.
(f) Five added to one third of a number gives twice the number. Find the number. (g) A number when multiplied by 6 is increased by 45. Find the number.
(h) During Van-Mahotasva Class VII A and VII B planted trees in their school premises. Section A planted 5 more than thrice the number of trees planted by section B. Together they planted 221 trees. Find the trees planted by section A.
(i) A man is 4 times as old as her daughter. After 16-years, he will be twice as old as her daughter find daughter's age.
(j) Rajat says that he has 7 marbles more than five times the marbles Rohan has. Rajat has 37 marbles. How many marbles does Rohan have? more
Answers
Step-by-step explanation:
Set up equations and then solve them to find the unknown numbers in the following cases:
(a) Find a number which when added to its half gives 42.
(b) Add 7 to 6 times a number, you get 73.
(c) One sixth of a number minus 5 gives 31. (d) Seven taken away from twice a number is 27.
(e) Tushar subtracted thrice the number of story books he has from 100, he finds that the number is 34.
(f) A number multiplied by 4 gives 64.
(g) Sum of two consecutive numbers is 45. (h) One number exceeds the other by 9 and their sum is 81.
(i) A number when multiplied by 4 is 33 mo than itself.
(j) Father is three times son's age and the sum of their ages is 100. Find son's age.
2. Solve the following:
(a) Perimeter of a rectangle is 96 m. Its length is 3 times its width. Find its length and breadth.
(b) Perimeter of a rectangular plot is 860 m. Its length is 4 more than its breadth. Find its length and breadth.
(c) In an isosceles triangle, the base angles are equal, the vertex angle is 50°. What are the base angles?
(d) Divide 64 into two parts such that one part is 3 times the other.
(e) In a cricket match, Rajat scored thrice as many run as Devansh. Together they fell short of 8 runs of a triple century. Find their scores.
(f) Five added to one third of a number gives twice the number. Find the number. (g) A number when multiplied by 6 is increased by 45. Find the number.
(h) During Van-Mahotasva Class VII A and VII B planted trees in their school premises. Section A planted 5 more than thrice the number of trees planted by section B. Together they planted 221 trees. Find the trees planted by section A.
(i) A man is 4 times as old as her daughter. After 16-years, he will be twice as old as her daughter find daughter's age.
(j) Rajat says that he has 7 marbles more than five times the marbles Rohan has. Rajat has 37 marbles. How many marbles does Rohan have? more
a) Let α be the number.
According to the statement:
4+8α=60
8α=56
⇒α=7
b) Let the number be x.
According to the statement:
5
1
×(x)−4=3
5
x
=7
⇒x=35
c) Let the number be P.
According to the statement:
4
3
(P)+3=21
4
3
(P)=18
⇒P=6×4=24
d) Let the number be $$y$:.
According to the statement.
2y−11=15
2y=26
⇒y=13
(e) Let the number be z.
According to the statement.
50−3(z)=8
3z=42
⇒z=14
(f) Let the number that was thought be k.
According to the statement:
5
(k+19)
=8
k+19=40
⇒k=21