Answer:
93, 837, 193
Step-by-step explanation:
Number 1 - x = 93
Number 2 - 9x = 837
Number 3 - x + 100 = 193
x + 9x + x + 100 = 1123
11x = 1023
x = 93
ANSWER:
One number is 9 times a first number. The numbers are 93, 837 and 193.
SOLUTION:
Given, one number is 9 times a first number.
A third number is 100 more than the first number.
The sum of the three numbers is 1123,
We need to find the numbers.
let the first second and third numbers be a, b, c respectively
According to given information, b = 9a ---- (1)
c = 100 + a ---- (2)
a + b + c = 1123 ----- (3)
now substitute (1) and (2) in (3)
a + 9a + 100 + a = 1123
11a + 100 = 1123
11a = 1123 – 100
11a = 1023
a = 93
now substitute a value in (1) and (2)
b = 9 x 93 = 837
c = 100 + 93 = 193
hence, the numbers are 93, 837, 193.
