THE LARGER NUMBER IS 52, WHILE THE SMALLER NUMBER IS 31.
solution let assume the smaller to be y let assume the larger number to be x
x + y = 83 ------------1 2x + 3y = 197...........2
using simultaneous equation make x the subject of formular in equation 1
x=83 - y .................3
substitute equation 3 in equation 2 any where you see x replace it with 83-y in equation 2 2(83 - y) + 3y = 197 open the bracket by multiplying by 2 by the content of the bracket 166 - 2y + 3y = 197 -2y +3y = y therefore: 166 + y = 197 collect like terms by taking 166 to the lefthand side of the equation y = 197 - 166 y = 31.
substitute y in equation 2 above x + 31 = 83 <span>collect like terms by taking 31 to the lefthand side of the equation </span>x = 83 - 31 x = 52
X represent the larger number which is 52 Y <span>represent the lsmaller number which is 31</span>
