<PRE><B>Question 400348</B>
the larger of 2 numbers is 4 more than 6 times the smaller. the sum of the 2 numbers is 29 less than twice the larger

first part y=4+6x (the larger of 2 numbers is 4 more than 6 times the smaller)
second part y+x=29-2y (the sum of the 2 numbers is 29 less than twice the larger)

Now we have two variable and two equations so we can solve the problem.
(4+6x)+x= 29 - 2*(4+6x)
4 + 7x = 29 - 8 - 12x
4 + 7x = 21 - 12x
4 + 19x = 21
19x = 17
x = 17/19 = .89
therefore
y = 4 + 6 *(17/19)
y = 9.39</PRE>