Question

plz answer in complete and proper way

1.the sum of two numbers is 67.their difference is 15.find the numbers

2.one fourthof a number exceeds one fifth of the succeding number by 3. find the number.

3.the length of a rectangle is 3 more than its width. what are dimensions if the perimeter is 54m?

4.find three consecutive numbers whose sum is 303.

10.in a hall there are 960 persons if the number of women is 2 times the number of men and the number of men is 3 times the number of children find how many women are there ?

Answer 1

4. let the three consecutive number be x,x+1,x+2
x+x+1+x+2=303
3x+3=303
3x=303-3
3x=300
x=300/3
x=
so,x=100
x+1=100+1=101
x+2=100+2=102
10. total persons=960
let the children be x
men =3×x=3x
women=3x×2=6x
A.T.Q.
x+3x6x=960
10x=960
x=960/10
x=96
women=6×96
=576
3. let the width of a rectangle be x
length=x+3
perimeter of a rectangle=54m
2(x+x+3)=54
2(2x+3)=54
4x+6=54
4x=54-6
4x=48
x=48/4
x=12
width=12
length=12+3=15