# Thread: word problem #29

1. ## word problem #29

can someone show how to set up the equation to solve this word problem please.

One number is 4 more than another number. Find the two if two times the larger number is 7 less than 5 times the smaller.

the books solution is 5 & 9

2. Originally Posted by jwarfield09
can someone show how to set up the equation to solve this word problem please.

One number is 4 more than another number. Find the two if two times the larger number is 7 less than 5 times the smaller.

the books solution is 5 & 9

Hi , lets call the 2 numbers x and y .

y=x+4 --1

Then we know that y is the larger one and x is the smaller one .

2y=5x-7 ---2

Then solve the simultaneous equation .

3. Originally Posted by mathaddict
Hi , lets call the 2 numbers x and y .

y=x+4 --1

Then we know that y is the larger one and x is the smaller one .

2y=5x-7 ---2

Then solve the simultaneous equation .
But, if you want a single equation....

Let x = smaller number
Let x + 4 = the larger number

2(x + 4) = 5x - 7