Question

A number is one seventh of another number the difference of the number is 18 assume u are subtracting the smaller number from the other number

Answer 1

Let the first number be x and the second number be y. Then x-y = 18, assuming that x>y. y, the smaller number, is 1/7 th of x.

x-y=18 and y=x/7 govern this situation.

Let's find x. Subst. x/7 for y in x-y=18: x-x/7 = 18

Mult. all 3 terms by 7 to remove fractions: 7x - x = 126

Combine: 6x = 126; solve for x by div. both sides by 6: x = 21

The larger number is 21 and the smaller number is (21-18) = 3.