Question

13 was subtracted form a number and that difference was then divided by 5. After which, that quotient was multiplied by 7. The resulting product was -7. What was the number?

Answer 1

Answer:the number is 8

Explanation:

Step 1

Let x be the number 13 was subtracted from so that the difference becomes x-13

i. dividing the resulting difference by 5, then (x-13)/5

ii. Multiplying the quotient by 7 makes the expression become (x-13)/5 x 7

with the product coming to -7 we have our final equation as

(x-13)/5 x 7 = -7

Step 2 -----solving the equation

(x-13)/5 x 7 = -7

Ist divide both sides by 7,

(x-13)/5 =-1

cross multiplying gives

x-13=-5

x= -5+ 13

x=8

the number is 8