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

Eliminate the parameter from the set of parametric equations, Eliminate the...

Eliminate the parameter from the subsequent set of parametric equations. X = t 2 + t Y = 2t - 1 Solution: One of the very easy ways to eliminate the parameter is to

GEOMETRIC PROGRESSION, THE FIRST AND THIRD TERM OF A G.P ARE 8 AND 18 RESPE...

THE FIRST AND THIRD TERM OF A G.P ARE 8 AND 18 RESPECTIVELY AND THE COMMON RATIO IS POSITIVE.FIND THE COMMON RATIO

How to raise powers of monomials, How to raise Powers of Monomials ? To ...

How to raise Powers of Monomials ? To raise a monomial to a certain power: Step 1: Place the entire monomial inside parentheses, and place the desired power outside the paren

Solving a quadratic equation, In polynomials you have seen expressi...

In polynomials you have seen expressions of the form x 2 + 3x - 4. Also we know that when an expression is equated to zero or some other expression, we cal

Statistics, do we calculate midpoints from classes or from class boundaries...

do we calculate midpoints from classes or from class boundaries

Fractions, question paper on fractions

question paper on fractions

What is graphing statistics explain , What is Graphing Statistics explain ?...

What is Graphing Statistics explain ? The number of times that an event occurs is called its frequency. One of the ways that you can compare or display different frequencies is

Find the shortest length of wire needed, A 125-foot tower is located on the...

A 125-foot tower is located on the side of a mountain that is inclined at 32° to the horizontal. A guy wire is to be fitted to the top of the tower and anchored at a point 55 feet

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