Question

89y - 273x = 40 What is the sum of x and y if both x and y are natural numbers less than 100? (a) 94 (b) 97 (c) 88 (d) can't determined

write answer with explanation or don't write otherwise I'll report it..correct answer will get BRAINLIEST​

Answer 1

Case1: x+y=94
In this case x=94-y — equation 1
Substituting this value for x in the given equation 89y-273x=40
89y- 273(94-y)=40
89y-25662+273y=40
89y+273 y = 40+25662
362y=25702
Y=25702/362=71
Substituting this value of y in equation 1
X=94-y=94-71=23

From Case 1 the values for x and y are determined as x=23 y=71

Case 2: x+y=97
x=97-y ——-—equation 2

Substituting this value of x in equation 89y-273x=40

89y-273(97-y)=40
362y=26521
Y=73.26
Substituting this value of y in equation 2
X=97-73.26=23.74

From Case 2 the values for x and y are determined as x=23.74 y=73.26

Case3: x+y=88
In this case x=88-y — equation 3
Substituting this value for x in the given equation 89y-273x=40
89y- 273(88-y)=40
89y-24024+273y=40
89y+273 y = 40+24024
362y=24064
Y=24064/362=66.47
Substituting this value of y in equation 3
X=88-y=88-66.47=21.53

From Case 3 the values for x and y are determined as x=21.53 y=66.47

Since it is told that x and y are natural numbers, only case 1 is possible. In Case 2 and 3, the values of x and y are in decimal , so they are not natural numbers.

Hence, the sum of x and y is equal to 94.

Answer 2

Answer:

97 is the ans i it's is the correct answer