Word Problems

Jun 2010
118
1
1)A number exceeds another by 4 and their sum is 32.Find the two numbers ?

2)When a number is doubled and 5 is subtracted from the result, the answer is 37.What is the number ?

3)A is twice as old as B.John is 7 years younger than A.If the sum of their ages is 38,How old are the three boys ?

4)The length of a rectangle is 7 cm longer than its width.If the perimeter of the rectangle is 74 cm,Find the length and area of the rectangle ?

5)Peter and Jane together have $90.If Peter gave Jane $16,he would than have $14 less than Jane.How much Peter originally have ?

6)When a number is divided by 4 and has 12 subtracted from it, the result is 1/6 of the number.What is the number ?
 

Prove It

MHF Helper
Aug 2008
12,897
5,001
1)A number exceeds another by 4 and their sum is 32.Find the two numbers ?

2)When a number is doubled and 5 is subtracted from the result, the answer is 37.What is the number ?

3)A is twice as old as B.John is 7 years younger than A.If the sum of their ages is 38,How old are the three boys ?

4)The length of a rectangle is 7 cm longer than its width.If the perimeter of the rectangle is 74 cm,Find the length and area of the rectangle ?

5)Peter and Jane together have $90.If Peter gave Jane $16,he would than have $14 less than Jane.How much Peter originally have ?

6)When a number is divided by 4 and has 12 subtracted from it, the result is 1/6 of the number.What is the number ?
(1) Call the two numbers \(\displaystyle x\) and \(\displaystyle y\).

You are told that \(\displaystyle y = x + 4\) and that \(\displaystyle x + y = 32\).

So \(\displaystyle x + x + 4 = 32\)

\(\displaystyle 2x + 4 = 32\)

\(\displaystyle 2x = 28\)

\(\displaystyle x = 14\).

Therefore \(\displaystyle y= 18\).


The other problems follow a similar procedure.
 
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Reactions: haftakhan
Jun 2010
118
1
Can u provide the answers to the other questions as well ? So that i know i have solved them correctly.
No solution required for the rest
 

Prove It

MHF Helper
Aug 2008
12,897
5,001
Can u provide the answers to the other questions as well ? So that i know i have solved them correctly.
No solution required for the rest
A better idea is to show what you have done and the answers you have gotten. Then I can steer you in the right direction if need be.
 
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Reactions: mr fantastic
May 2010
98
16
A little hint for #2. Try 'reading' the question backwards
 
Jun 2010
118
1
for number 2 i have got the answer 21

for 3 i get B=9 years,A=18 years and J=11 years

for 4 Dont know

for 5 $54

for 6 144

correct me if these are wrong
 
May 2010
98
16
Youre right at everything.

Now for #4. You got a rectangel with lenght = x+7, and width = x.
The perimeter is 74. And on this rectangle the perimeter is \(\displaystyle 2(x+7)+2x\)
\(\displaystyle 2(x+7)+2x=74 \rightarrow\) \(\displaystyle 4x+14=74 \rightarrow\) \(\displaystyle 4x=60 \rightarrow\) \(\displaystyle x=15\).

And the length was x+7 so the length is?:)

The area is simply the \(\displaystyle A=l*w\)
 
May 2010
98
16
ow, and remember that it's in cm!