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Answers
Answer:
1) a)1500 Rs.
b)3500 Rs.
2)a)20,000 Rs.
b)30,000 Rs.
3)a)180°.
b)smallest angle= 50°.
third angle. = 60°.
largest angle = 70°.
4)a)Multiples of 5= 40, 45, 50.
b)The other 2 numbers are 45 and 50.
c)The 3 numbers are 40, 45 and 50.
5)a)8 Rs.
b)13 Rs.
c)24 Rs.
Step-by-step explanation:
1)Let the price of the chair= x
Let the price of the table= x+2000
Total price of table and chair= 5000 Rs.
A.T.Q
x + x + 2000 = 5000
2x + 2000 = 5000
2x = 5000 - 2000
2x = 3000
x = 3000
2
x = 1500
x = 1500 Rs. = Cost of the chair.
x + 2000 = 1500 + 2000 = 3500 Rs. = Cost of the table.
a) Cost of the chair is 1500 Rs.
b) Cost of the table is 3500 Rs.
2)Let the salary of the clerk be x
Let the salary of the manager be x+ 10,000
Total sum of thier salary is 50,000 Rs.
A.T.Q
x + x + 10,000 = 50,000
2x + 10,000 = 50,000
2x = 50,000 - 10,000
2x = 40,000
x = 40,000
2
x = 20,000
The salary of the clerk is x = 20,000 Rs.
The salary of the manager is x + 10,000 = 20,000 + 10,000 = 30,000 Rs.
a) The salary of the clerk is 20,000 Rs.
b) The salary of the manager is 30,000 Rs.
3)Let the smallest angle = x°
Let the third angle. = x + 10°
Let the largest angle. = x + 20°
a) The total angle sum of a triangle is 180°( A.S.P)---1
A.T.Q
x° + x + 10° + x + 20° = 180°[1]
3x + 30° = 180°
3x. = 180° - 30°
3x. = 150°
x. = 150
3
x. = 50°
The smallest angle is 50°
The third angle is x + 10° = 50° + 10° = 60°
The larget angle is x + 20° = 50° + 20° = 70°
b) All the angles are 50°, 60 and 70°.
4)The first consecutive multiple of5=x
second = x + 5
third. = x + 10 There sum is 135
A.T.Q
x + x + 5 + x + 10 = 135
3x + 15= 135
3x = 135 - 15
3x = 120
x = 120
3
x = 40
The first consecutive multiple of 5 is 40
The second consecutive multiple of 5 is 45
The second consecutive multiple of 5 is 50
a) The 3 consecutive multiple of 5 are 40, 45 and 50 respectively.
b) The other two numbers are 40 and 45.
c) The 3 numbers are 40, 45 and 50.
5)Let the price of the pencil=p
Let the price of the pen. = p +5
Let the price of the book = 2(p +8)= 2p + 16
The total price is 53 Rs.
A.T.Q
p + p + 5 + 2p + 16 = 53
4p + 21 = 53
4p = 53 - 21
4p = 32
p = 32
4
p = 8
The price of the pencil is 8 Rs.
The price of the pen is x + 5 = 8 + 5 = 13 Rs.
The price of the book is 2x + 8 = 2(8) + 8 = 16 + 8 = 24 Rs.
a) The price of the pencil is 8 Rs.
b) The price of the pen is 13 Rs.
c) The price of the book is 24 Rs.
Hope it helps you