Question

A number when added to its 2/3 is equal to 65. The number is
1) -39
2) 29
3) 39
4) -19
Please solve this question with proper statement answer​

Answer 1

Given:

• A number when added to 2/3 it becomes 65.

To Find:

• What is the number = ?

Solution:

Let's assume:

• Let the number be x.
• Let the other number be $\sf\frac{2}{3}$x.

According to the question,

$\sf \implies \: x + \frac{2}{3} x = 65 \\ \\ \sf \implies \: \frac{3x + 2x}{3} = 65 \\ \\ \sf \implies \: \frac{5x}{3} = 65 \\ \\ \sf \implies \: 5x = 65 \times 3 \\ \\ \sf \implies \: x = \frac{65 \times 3}{5} \\ \\ \sf \implies \: x = 36$

Hence, The number is 36.

Answer 2

Answer:

1) 39

Step-by-step explanation:

You can solve this problem by using this equation:

({x/3} x 2) + x =65

[explanation for the equation:

{x/3} is finding one third

x 2 is finding two thirds

+ x is adding it to itself]

You can see that the sum is positive, if we chose a negative number, the sum would be negative, since when you multiply a negative number (Option 1 or 4) by a postive number (x2) the product is negative. And when you add a negative number ( Option 1 or 4) , your really subtracting. So we can cross out 1 and 4.

And option 2, 29, is not a multiple of three, but your dividing it by three (x/3) so it will inevitably end up as an infinite decimal, and no matter what you do, the answer will be an infinite decimal, but 65 is an integer, so you can cross out option 2.

Now, with only one option left (option 1, 39), you can check:

(39/3) x 2 + 39 = 65

13 x 2 + 39 = 65

26 + 39 = 65

So the answer is 39