Age Word Problems | MathHelp.com - By MathHelp.com
Transcript
| 00:01 | Mary is three times as old as her son In | |
| 00:04 | 12 years . Mary's age will be one year less | |
| 00:08 | than twice her son's age . How old is each | |
| 00:12 | now for the word problems in this section called age | |
| 00:17 | problems , You're going to be dealing with a lot | |
| 00:19 | of information . So to help you organize things , | |
| 00:22 | it's a good idea to set up a chart down | |
| 00:35 | the left side of our chart . We're gonna list | |
| 00:38 | are people that are involved in this problem in this | |
| 00:42 | case , Mary and her son , I'm going to | |
| 00:45 | put the sun 1st and then mary , even though | |
| 00:52 | the order here doesn't matter . So what do we | |
| 00:55 | know about mary and her son ? Well , we | |
| 00:59 | know something about their ages now And we know something | |
| 01:04 | about their ages in 12 years . So that's what | |
| 01:07 | we put across the top of our chart age now | |
| 01:16 | And age in 12 years . Yeah . Let's take | |
| 01:28 | a look at the first sentence in our problem , | |
| 01:30 | mary is three times as old as her son . | |
| 01:34 | So if we use X . To represent the Sun's | |
| 01:39 | age now We can use three x . To represent | |
| 01:44 | mary's age . Now If the sun's age now is | |
| 01:49 | X . His age in 12 years is going to | |
| 01:52 | be X plus 12 . Mary's age in 12 years | |
| 02:00 | will then be three X plus 12 . Our goal | |
| 02:08 | in this problem is to find the value of X | |
| 02:12 | . Because X represents the son's age now and look | |
| 02:17 | at what the problem is , asking , how old | |
| 02:19 | is each of them Now ? If we can find | |
| 02:22 | the son's age now X . We can easily find | |
| 02:25 | mary's age now which is three X . And we | |
| 02:28 | have our answer to the problem . But in order | |
| 02:31 | to find X , we need to set up an | |
| 02:33 | equation and to do that , we use the second | |
| 02:37 | sentence in the problem . So reading through the second | |
| 02:41 | sentence we start with in 12 years , that tells | |
| 02:46 | us that all the information in our equation is going | |
| 02:50 | to come from this second column , The age in | |
| 02:54 | 12 years column . so in 12 years Mary's age | |
| 03:00 | that's three x plus 12 will be equals one year | |
| 03:13 | less than twice her son's age , That's two times | |
| 03:17 | x plus 12 minus one solving this equation . We | |
| 03:28 | can find that X equals 11 . What that means | |
| 03:36 | is that the sons age now is 11 . So | |
| 03:42 | Mary's age now is three times 11 or 33 , | |
| 03:48 | So her son is 11 . Mhm . And mary | |
| 03:55 | is 33 and that's our answer . |
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