Question 1011638
Hi there,
Three times the first added to four 
times the second is 65.
3x + 4y = 65......(1)
while four times the first added to 
three times the second is 61.
4x + 3y = 61......(2)
.................
3x + 4y = 65......(1)
4x + 3y = 61......(2)
Multiply (1) by 4
Multiply (2) by 3
12x + 16y = 260......(1)
12x + 9y  = 183......(2)
Subtract (2) from (1)
.....7y = 77
......y = 11
Substitute y = 11 into (1)
3x + 4y = 65......(1)
3x + 4(11) = 65
3x + 44 = 65
3x = 65 - 44
3x = 21
x = 7
First number = 7
Second number = 11
Hope this helps :-)