Question

Do the four parts of 2000. The second part is seven times bigger than the first part. The third part is seven times more than the second part. The fourth part is seven times the third part.​

Answer 1

ANSWER:

Given:

• 2000 is divided into 4 parts
• The second part is seven times bigger than the first part.
• The third part is seven times more than the second part.
• The fourth part is seven times the third part.

To Find:

• All 4 parts, in which 2000 is divided.

Solution:

Let the first part be x.

Now, we are given that,

⟹ Second part is 7 times the first part

That is,

⟹ Second part = 7 × First Part

But, First part = x

So

⟹ Second part = 7 × x

⟹ Second part = 7x

Then, we are given that,

⟹ Third part is 7 times the second part

That is,

⟹ Third part = 7 × Second Part

But, Second part = 7x

So

⟹ Third part = 7 × 7x

⟹ Third part = 49x

And, we are also given that,

⟹ Fourth part is 7 times the third part

That is,

⟹ Fourth part = 7 × Third Part

But, Third part = x

So

⟹ Fourth part = 7 × 49x

⟹ Fourth part = 343x

Now, we have got all the 4 parts.

The last detail, we are given, is

⟹ Sum of all parts = 2000

So,

⟹ x + 7x + 49x + 343x = 2000

⟹ 400x = 2000

So,

⟹ x = 2000/400

Hence,

⟹ x = 5

So, all 4 parts are:

• x = 5
• 7x = 7 × 5 = 35
• 49x = 49 × 5 = 245
• 343x = 343 × 5 = 1715

Therefore, all 4 parts are 5, 35, 245 and 1715 respectively.