Ask question

Ask question

All categories

3 years ago

10

The ratio of SAMs age to hank is 5 to 3. If the sum of their age is 24. How old is is hank?

1 answer:

Serggg [28]3 years ago

3 0

Lets consider SAM's age is 'x' and Hank's age is 'y'
So as per given data Sam's age is 5/3 times of Hank's age
so x = 5/3 * y
3x = 5y --> equation 1
and also sum of their ages is 24
so, x + y = 24
we need to find Hank's age (y)
so x = 24 - y
Now replace x value in equation 1
3(24-y) = 5y
72-3y = 5y
72 = 3y+5y
8y= 72
y= 72/8
y = 9 years.

So the Hank's age is 9 years

.

You might be interested in

The price of a house is originally listed at $225,000. The owners are having a hard time selling it and decide to reduce the pri

Darina [25.2K]

Percent decrease : (original number - new number) / original number..*100
= (225,000 - 191,250) / 225,000.....* 100
= 33,750 / 225,000....* 100
= 0.15 * 100
= 15% decrease <==

5 0

3 years ago

Which expression represents the <br>phrase 4 times the sum of 9 and 6

Dominik [7]

It would be x=4(9+6)

3 0

3 years ago

Read 2 more answers

Need help with homework

zubka84 [21]

Answer:

5. the other angle has to be 2x because of the other lines being equals so

2x+2x+x-15=180

5x-15=180

5x=195

x=19

6. the other two angle is ajacent to the other two so

3x+17+3x+17+x-9+x-9=360

8x+16=360

8x=344

x=43

7. this ones pretty simple

2x-4+3x+5+2x+11=180

7x+12=180

7x=168

x=24

8. this one to

x+x+4+3x-9=90

5x+5=90

5x=85

x=17

Hope This Helps!!!

5 0

2 years ago

Jean runs 8 mi and then rides 11 mi on her bicycle on a biathlon. She rides 9 mph faster than she runs. If the total time for he

Ipatiy [6.2K]

Let Jean's speed while running = x mph

Then Jean's speed while riding will be = x+9 mph

Distance covered by running = 8 miles

Distance covered by riding = 11 miles

Total time taken to complete the race = 1.5 hours

As, $time=\frac{distance}{speed}$

So, time for running= $\frac{8}{x}$

And time for riding= $\frac{11}{x+9}$

Equation becomes:

$\frac{8}{x}+\frac{11}{x+9}=1.5$

Now, multiply every term by 2x(x+9) to clear denominators:

$16(x+9)+22x=3x(x+9)$

Simplifying it we get

$3x^{2}-11x-144=0$

Solve the quadratic equation using formula

$x= \frac{-b+\sqrt{b^{2}-4ac }}{2a}$

putting a=3 , b= -11, c= -144

we get (x - 9)(3x + 16) = 0

where x=9 and x= $\frac{-16}{3}$

Neglect the negative answer as speed cannot be negative, so x = 9 mph

Hence, Jean's running speed is 9 mph and riding speed is x+9 = 9+9 = 18 mph

4 0

3 years ago

Sammy Sales had the following receipts for his tree trimming business for the first six months of the year. What is the average

fredd [130]

$average = \frac{sum \: \: of \: \:all \: \: obeservations}{no. \: \: of \: observaions}$

$= \frac{1205 + 1450 + 1530 + 1655 + 1610 + 1710}{6}$

$= \frac{9160}{6}$

$= 1526.66$

___________________________________________

1526.66 is the average of his sales for this period.

6 0

3 years ago