If fred subtracts 7 from his age and multiplied that by...?

Question

If Fred subtracts 7 from his age and multiplies that by 7, it is equal to him subtracted 5 from his age and dividing that by 5. how old is he?

Answer 1

1?

Answer 2

*Fred's age is an unknown number/value which, is represented as a variable ("x"). Rewrite the information in numerical data.

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

First: Use distribution on the left > multiply 7 with the terms in parenthesis. Eliminate fractions by multiplying the denominator by everything.

7x - 49 = (x - 5)/5
5(7x - 49) = 5[(x - 5)/5]

First: use distribution on the left side and cancel "like" terms on the right side >

35x - 245 = x - 5

Sec: subtract x from both sides >

35x - x - 245 = x - x - 5
34x - 245 = -5

Third: add 245 to both sides and divide both sides by 34 >

34x - 245 + 245 = -5 + 245
34x = 240
34x/34 = 240/34
x = 240/34
x = 7.06

Fred is about 7 yrs old.

Answer 3

Let X = Fred's Current age
Let's make an equation
7(X-7) = 1/5 ( X-5)
Multiply both sides by 5
35 (X-7) = X-5
Distribute the 35
35X-245 = X-5
34X = 250

X = 7.3529.......
Small problem.....we usually regard age as an integer....so perhaps no solution?

Answer 4

Let Fred's current age be F

So F-7

Then multuply by seven

7F-49

This equals F-5
Then divided by 5 = (F-5)/5

So 7F-49=(F-5)/5

so 35F-245=F-5

so 34F-240=0

so F=240/34

F=7.06 years

However I suspect the phrase in the question

"him subtracted 5 from his age and dividing that by 5"

Actually means (5-F)/5

Which gives his age as 6.67 years of 6 years and 8 months.

Answer 5

Providing I understand your statement correctly we can say, if x = Fred's age:

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

Multiply both sides by 5:

35(x-7) = x-5

35x-245 = x-5

35x-x = 240

Therefore:

x (Fred's age) = 240/34

Now, this is an irrational number: 7.06 years (or 7 years and ~21.5 days) old.

As I said, that is correct if my interpretation of your statment is correct ;-)

Answer 6

let fred's age = x
then (x - 7)*7 = (x-5)/5
=
35x - 245 = x-5
- 34x = -240
x = 240/34 =
will be about
7.06 years

Answer 7

Let the age be 'x'

Thus (x-7)7=[(x-5)/5]

x=7.06 years

Answer 8

7.059 years old or 7 1/2 years old

7(x-7) = (x-5)/5
7x-49 = (x-5)/5
35x-245 = (x-5)
34x-245 = -5
34x = 240
x = 7.059