one year ago, a man was 8 times as old as his son. Now his age is equal to the square of his son' age. Find their present ages.

Answers

Answer 1
Answer: First of all, we know that the man's age was divisible by 8 one year ago. So, let's list a few numbers that are divisible by 8, and work from there.

8, 16, 24, 32, 40, 48, 56, 72, 80, 88, 96 are all divisible by 8.

We also know that his current age is the square of his son's age. So we can check the numbers that follow the multiples of eight to see if they'll work.

The subsequent numbers, in order, are

9, 17, 25, 33, 41, 49, 57, 73, 81, 89, 97

Now, let's list which ones are squares, meaning a number multiplied by itself is equal to anther number.

9 is the square of 3
25 is the square of 5
49 is the square of 7
81 is the square of 9

Only these four will work, but right now, ANY of these four will work. Let's use a little science to narrow it down.

It is scientifically improbable for a 9-year-old to have a 3-year-old son, so we'll rule that one out. It's also highly unlikely that an 81-year-old has a 9-year-old son, so we'll cross that off the list, as well.

This leaves a 25-year-old man with a 5-year-old son, and a 49-year-old man with a 7-year-old son, both of which are most likely.

At this point, you can choose whichever you'd like, or put down both as the answer.

The man and his son's present ages are either 25 and 5, or 49 and 7.

Related Questions

Arrange these numbers from least to greatest:
If you roll two fair six-sided dice, what is the probability that at least one die shows a 3?
7x-6y=13 what is this equation in slope intercept form
What's the estimate of 189,729
Create a fraction with a denominator of 100 that is equivalent to 2/10

ASAP What is 7 · 2 3/7 ?

Answers

7 * 2  (3)/(7) \n \n 7 *  (2 * 7 + 3)/(7) \n \n 7 *  (14+3)/(7)  \n \n 7 *  (17)/(7) \n \n  (119)/(7) \n \n 17 \n \n Answer: \fbox {17}
2 (3)/(7) = ((2\cdot7)+3)/(7) = (14+3)/(7) = (17)/(7)

7 \cdot (17)/(7) = \boxed{\bf{17}}

Which shows the prime factorization of 36? i dont understand i need help asap
A.
2 • 2 • 2 • 3

B.
2 • 2 • 3 • 3

C.
2 • 2 • 9 • 1

D.
2 • 3 • 3 • 3

Answers

a= 24
b= 36
c= 36 
d= 54 

What is 6.1 divided by 9
(step by step)

Answers

Use division or long division (ignore the decimal point)
Then put the decimal in the same spot as the dividend (the number being divided)
do the same method as i said on your last quesion
divide by 9 to 6,,,, u cant divide  so put a decimal [ 0. ] then put 1 back to 6 and divide 61 by 9 u get [ 6 ]  and remains  7 put 0 back of 7 and do the same process
u will get    0.6777777777777777

The circumference of a circle is 16Pi ft.

The radius is __ ft.

Answers

Answer:

8

Step-by-step explanation:

Answer:

the answer is 8

Step-by-step explanation:

I need help with this by 12:21

Answers

For this one use the slope formula, (y2-y1)/x2-x1)

Just to have them in one place, here are the ordered pairs

(-1,-2) (2,2)

You can do these in any order, here is how I did the problem:


(2--2)/2--1)

Your y intercepts are 2 and -2

The x are 2 and -1

Now reduce.  Since you are subtracting a negative, it turns into a positive.

(2+2)/(2+1)

4/3

There is our slope: rise 4 run 3 or as a fraction 4/3.

Hope this helps!

PLEASE HELP I GIVE THANKS

Answers


30²-18²=x²

x²=576

x= 24 inches

a²+b²=c²
30²-18²=b²
576=b²
√576=√b²
b=24
so your answer will be C 24 inches