Respuesta :

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

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