Word Problems

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 ? Prove It MHF Helper 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.

haftakhan

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

Prove It

MHF Helper
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.

mr fantastic

Zaph

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

haftakhan

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

Zaph

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 $$\displaystyle A=l*w$$

Zaph

ow, and remember that it's in cm!

L=22
and A=330 ?

Excactly