Question

Two third of three seventh of a number is 98 what is the number

Answer 1

Step-by-step explanation:

let the number be x

then

according to question

$x \times \frac{3}{7} \times \frac{2}{3} = 98 \\ x \times \frac{2}{7} = 98 \\ 2x = 98 \times 7 \\ x = \frac{98 \times 7}{2} \\ \: \: \: \: = 49 \times 7 \\ \: \: \: = 343$

Answer 2

Answer:

The unknown number is 343.

Explanation:

Given: Two-thirds of the three-sevenths of a number is 98.

To find: The unknown number.

Steps to be done while solving:

1. Read and understand the given statement.
2. Assume the unknown number as a variable.
3. Form an equation with the given data.
4. Solve for the variable.
5. Multiply or divide the numbers.
6. Simplify the expression.
7. Find the required number.

Step 1 of 3:

Let the unknown number be a.

You can use any variable in order to solve the problem.

Two-third means $\frac{2}{3}$ .

Three-seventh means $\frac{3}{7}$ .

Step 2 of 3:

From the given statement, we can write the equation

$\frac{2}{3}(\frac{3}{7}(a))=98$

Canceling the common terms,

$\frac{2}{7}a=98$

Step 3 of 3:

Reciprocating 2/7 to the other side to solve for a,

$a=98(\frac{7}{2} )\\a=49(7)\\a=343$

Final answer:

Hence, the required number is 343.