Question

The sum of a number, 1/6 of that number, and 7 is 121/2 find the number​

Answer 1

The number is:

321/7

Explanation:

a + a/6 + 7 = 121/2

6a/6 + a/6 + 42/6 = 363/6

6a + a + 42 = 363

7a = 363 - 42

7a = 321

a = 321/7

Check:

321/7 + (321/7)/6 + 7 = 121/2

321/7 + 321/42 + 7 = 121/2

1926/42 + 321/42 + 294/42 = 2541/42

1926 + 321 + 294 = 2541