Answer:
the larger number is 39 and the smaller is 35
Step-by-step explanation:
let the larger number be x and the smaller number be y
the larger number is 4 more than the smaller : x = y+ 4
the sum of the numbers is 74 : x+y = 74
knowing that x= y+4; (y+4)+y = 74
y+4+y=74
collect like terms : y+y=74-4
2y=70
y=70/2 ; y=35
substitute y=35 into (x=y+4)
X=35+4, x=39