# Math Help - Word Problems

1. ## Word Problems

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 ? 2. Originally Posted by haftakhan 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 $x$ and $y$.

You are told that $y = x + 4$ and that $x + y = 32$.

So $x + x + 4 = 32$

$2x + 4 = 32$

$2x = 28$

$x = 14$.

Therefore $y= 18$.

The other problems follow a similar procedure.

3. 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

4. Originally Posted by haftakhan
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.

5. A little hint for #2. Try 'reading' the question backwards

6. 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

7. 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 $2(x+7)+2x$
$2(x+7)+2x=74 \rightarrow$ $4x+14=74 \rightarrow$ $4x=60 \rightarrow$ $x=15$.

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

The area is simply the $A=l*w$

8. ow, and remember that it's in cm!

9. L=22
and A=330 ?

10. Excactly