two numbers are such that twice the larger number differstfrom thrice the smaller number by four the sum of two number is 17 find the number

2 answers

X=2
larger --- x
smaller ---- y

the sum of two number is 17 ----> x+y=17

twice the larger number ---> 2x
thrice the smaller number ---> 3y

twice the larger number differs from thrice the smaller number by four
-----> 2x - 3y = 4

from x + y = 17 , we get y = 17-x
sub into the 2nd
2x - 3y = 4
2x - 3(17-x) = 4
2x - 51 + 3x = 4
5x = 55
x = 11 , then y = 17-11 = 6