<PRE><B>Question 773710</B>
Let the bigger number be x and the smaller number be y.
x + y = 29
and 
x - 4y = 4
Rewrite the first equation as x = 29 - y
Substitute this equation into the second one to get
29 - y - 4y = 4
i.e. 29 - 5y =4
Add 5y to each side of the equation
29 - 5y + 5y = 4 + 5y
i.e. 29 = 4 + 5y
Subtract 4 from each side of the equation
29 - 4 = 4 + 5y - 4
i.e. 25 = 5y
i.e. y = 5
If the two numbers add to make 29 then the second number(x) must be 24.
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