Example of word problem, Mathematics

Assignment Help:

Example of Word problem:

There is a man who is 21 years older than his son.  5 years ago he was four times as old as his son. How older are both now?

Solution:

Step 1. Let x = Son's Age Now

Step 2. Then,

x + 21 = Father's Age Now

x - 5 = Son's Age Five Years Ago

(x + 21) - 5 = Father's Age Five Years Ago

Step 3. 5 years ago the father was four times as old as his son. (x + 21) - 5 = 4(x - 5)

Step 4. (x + 21) - 5      = 4(x - 5)

x + 16   = 4x - 20

x - 4x  = -20 - 16

-3x = -36

x = 12 years

Solving for the other unknowns:

x + 21   = 12 + 21

x + 21   = 33 years

Answers:         Son's Age Now = 12 years

Father's Age Now = 33 years

Step 5. The man is 21 years older than his son.

12 + 21 = 33 years

Five years ago he was four times as old as his son.

33 - 5 = 28 = 4(12 - 5) = 4 x 7

Thus, the answers check.


Related Discussions:- Example of word problem

How to calculate probability of event, Q. How to calculate Probability of e...

Q. How to calculate Probability of event? Ans. What chance do I have to toss the coin and get a head? You might think 50-50, 50%. What about tossing it 5 times and getting

Estimate how much did larry spend, Larry purchased 3 pairs of pants for $24...

Larry purchased 3 pairs of pants for $24 each or have 5 shirts for $18 each. How much did Larry spend? Divide the miles through the time to find the rate; 3,060 ÷ 5 = 612 mph.

Extreme value theorem, Extreme Value Theorem : Assume that f ( x ) is cont...

Extreme Value Theorem : Assume that f ( x ) is continuous on the interval [a,b] then there are two numbers a ≤ c, d ≤ b so that f (c ) is an absolute maximum for the function and

What is the surface area of a ball with a diameter of 6 inch, The formula f...

The formula for the surface area of a sphere is 4πr 2 . What is the surface area of a ball with a diameter of 6 inches? Round to the nearest inch. (π = 3.14) If the diameter  o

How to solve inequalities, How to Solve Inequalities ? Now that you hav...

How to Solve Inequalities ? Now that you have learned so much about solving equations, you're ready to solve inequalities. You might think that since an equation looks like

Multiply the polynomials, Multiply following. (a) (4x 2 -x)(6-3x) (b)...

Multiply following. (a) (4x 2 -x)(6-3x) (b) (2x+6) 2 Solution  (a) (4x 2 - x )(6 - 3x ) Again we will only FOIL this one out. (4x 2  - x )(6 - 3x) = 24x 2 -

Application of statistics-quality control, Quality Control Normally th...

Quality Control Normally there is a quality control departments in every industry which is charged along with the responsibility of ensuring about the products made do meet th

Marketing, What''s the price for a Marketing plan assignment ( postgraduate...

What''s the price for a Marketing plan assignment ( postgraduate)5000 words?

Profit maximization, a medical clinic performs three types of medical tests...

a medical clinic performs three types of medical tests that use the same machines. Tests A, B,and C take 15 minutes, 30 minutes and 1 hours respectively, with respective profits of

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd