I am thinking of a number. If I add a half, fourth, and a ninth of it together, I get a total of 62. What's my number?

x(1/2 + 1/4 + 1/9) = 62

I don't know can someone help me

To solve this problem, we can set up an equation. Let's represent the unknown number as "x".

According to the problem, when you add half (1/2), fourth (1/4), and a ninth (1/9) of the unknown number together, the sum is 62.

The equation would be: x/2 + x/4 + x/9 = 62.

To simplify this equation, we need to find a common denominator for the fractions involved, which is 36 (the least common multiple of 2, 4, and 9).

Multiplying each fraction by the appropriate factor to get a denominator of 36, we get:

18x/36 + 9x/36 + 4x/36 = 62.

Combining the fractions on the left side, we have:

(18x + 9x + 4x)/36 = 62.

Simplifying further:

31x/36 = 62.

Now, we can solve for 'x' by multiplying both sides of the equation by 36/31:

31x/36 * 36/31 = 62 * 36/31.

Simplifying the equation further:

x = (62 * 36)/31.

Evaluating the right side of the equation:

x ≈ 71.61.

So, the number you are thinking of is approximately 71.61.