# word problem #29

• Jul 25th 2009, 04:52 AM
jwarfield09
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
• Jul 25th 2009, 05:05 AM
Quote:

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 .
• Jul 25th 2009, 08:51 AM
masters
Quote:

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