###### Advertisements

###### Advertisements

150 has been divided into two parts such that twice the first part is equal to the second part. Find the parts.

###### Advertisements

#### Solution

Let one part be x, then the other parts will be 2x as the second part is twice the first part.

Since 150 has been divided into the above two parts.

According to the question,

x + 2x = 150

⇒ 3x = 150

⇒ `(3x)/3 = 150/3` ......[Dividing both sides by 3]

⇒ x = 50

Hence, the first part is 50 and the second part is 2 × 50 = 100.

#### APPEARS IN

#### RELATED QUESTIONS

Set up equations and solve them to find the unknown numbers in the following case:

Ibenhal thinks of a number. If she adds 19 to it and divides the sum by 5, she will get 8.

People of Sundargram planted trees in the village garden. Some of the trees were fruit trees. The number of non-fruit trees was two more than three times the number of fruit trees. What was the number of fruit trees planted if the number of non-fruit trees planted was 77?

In a Mathematics quiz, 30 prizes consisting of 1st and 2nd prizes only are to be given. 1st and 2nd prizes are worth ₹ 2000 and ₹ 1000, respectively. If the total prize money is ₹ 52,000 then show that:

The number of 1st prizes are ______ and the number of 2nd prizes are ______.

A number is 7 more than one-third of itself.

After 20 years, Manoj will be 5 times as old as he is now. Find his present age.

One of the two numbers is twice the other. The sum of the numbers is 12. Find the numbers.

A number when divided by 6 gives the quotient 6. What is the number?

Thrice a number decreased by 5 exceeds twice the number by 1. Find the number.

The length of a rectangle is two times its width. The perimeter of the rectangle is 180 cm. Find the dimensions of the rectangle.

Look at this riddle?

If she answers the riddle correctly how ever will she pay for the pencils?