Math, asked by sk6580993, 7 months ago

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Answered by mph10042160Prachi
1

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

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