answer these all question step by step
Answers
Answer:
Ans 2 )
Let's assume Gopal has x marble
Ram = 3x + 5 marbles
3x+ 5 = 32
3x = 32 - 5
3x = 27
x = 27/3
x = 9
So, Gopal has 9 marbles
Ans 3 )
let's assume breadth = x
Length = x+6
Perimeter of rectangle = 2(l + b)
128 = 2( x +6+x)
128 = 2(2x+6)
128 = 4x + 12
4x = 128-12
4x = 116
x = 116/4
x = 29
So,
breadth = x = 29 cm
length = x+6 = 29+6
=35 cm
Ans 4)
Three consecutive numbers are
(x) + ( x + 1 ) + ( x + 2 ) = 243
3x + 3 = 243
3x = 243 - 3
3x = 240
x = 240/3
x = 80
So,
x = 80
x + 1 = 80 + 1 = 81
x + 2 = 80+2 = 82
Hence, three consecutive numbers are x, x+1 , x+2 .
Ans 5)
let's assume Kiran's age is x year old
Kiran 's father's age = 65
A. T. Q.
Kiran's father's age = 3x +8
3x +8 = 65
3x = 65-8
3x = 57
x = 57/3
x= 19
So, Kiran's age is 19 years.
Ans 6)
let's assume son's age is x year old
Father's age = 3x
Sum of their ages = 52
3x + x = 52
4x = 52
x = 52/4
x = 13
So, son's age = 13 years
Father's age = 13 × 3 = 39 years.
Ans 7)
as we know that the base angle of an isosceles triangle are always equal and sum of their interior angles is 180° .
let the base of an isosceles triangle is x°
So,
x + x + 50° = 180°
2x + 50° = 180°
2x = 180° - 50°
2x = 130°
x = 130/2
x = 65°
Hence, the base angles will be 65° each.
Ans 8)
Let's assume no. x
2 is subtracted from 1/5x and gives 1
1/5x - 2 = 1
x/5 - 2 = 1
x/5 = 1 + 2
x/5 = 3
x = 3 × 5
x = 15
Ans 9)
33 is added to half number and the result is doubled
x/2 + 33 = 2x
first take lcm
x + 66 / 2 = 2x
x + 66 = 2x × 2
x + 66 = 4x
4x - x = 66
3x = 66
x = 66/3
x = 22
Ans 10)
Total students = 50
No. of boys = x
No. of girls = x/2 + 2
SO,
(x/2 + 2 ) + x = 50
first take LCM
x + 4 + 2x / 2 = 50
3x + 4 = 50 × 2
3x = 100 - 4
3x = 96
x = 96/3
x = 32
So, no. of boys = 32
no. of girls = 50 - 32
= 18
Hope, it's helps u