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

Find quadratic equation using the quadratic formula, Find quadratic equatio...

Find quadratic equation using the Quadratic Formula: Solve the subsequent quadratic equation using the Quadratic Formula. 4x 2 + 2 = x 2 - 7x: Solution: Step 1.

Probability rules, Probability Rules A probability is a number as...

Probability Rules A probability is a number assigned to the occurrence of an event in a sample space. Probability measures must satisfy three rules. If A is an even

Relations, test is tomorrow, don''t know anything lol, please help

test is tomorrow, don''t know anything lol, please help

Prove that its inclination is given by cot = b cot - a, Two stations due...

Two stations due south of a leaning tower which leans towards the north are at distances a and b from its foot.  If α ,  β be the elevations of the top of the tower from these

Shares and dividends, suresh invested rs.1080 in shares of face value rs.50...

suresh invested rs.1080 in shares of face value rs.50 at rs.54.After receiving dividend on them at 8% he sold them at 52.In each of the transaction he paid 2 % brokerage.Hpw much d

Standard basis vectors - calculus, Standard Basis Vectors The vector th...

Standard Basis Vectors The vector that is, i = (1, 0,0) is called a standard basis vector.  In three dimensional (3D) space there are three standard basis vectors, i → = (1

Evaluate following unit circle, Evaluate following sin 2 ?/3   and sin (-2 ...

Evaluate following sin 2 ?/3   and sin (-2 ?/3) Solution: The first evaluation in this part uses the angle 2 ?/3.  It is not on our unit circle above, though notice that  2 ?/

.fractions, what is the difference between North America''s part of the tot...

what is the difference between North America''s part of the total population and Africa''s part

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