Respuesta :
Answer:
Let's solve each problem step by step:
a) If the sum of two numbers is 10:
Let's call the two numbers x and y.
So, x + y = 10.
b) A number is greater than another number by 3. If their sum is 33:
Let the greater number be x and the other number be y.
Given that x = y + 3 and their sum is 33, we can write:
x + y = 33.
Substituting x = y + 3 into this equation:
(y + 3) + y = 33
2y + 3 = 33
2y = 33 - 3
2y = 30
y = 30 / 2
y = 15
Substituting y = 15 back into x = y + 3:
x = 15 + 3
x = 18.
c) A number is less than another number by 7. If their sum is 37:
Let the greater number be x and the other number be y.
Given that x = y + 7 and their sum is 37, we can write:
x + y = 37.
Substituting x = y + 7 into this equation:
(y + 7) + y = 37
2y + 7 = 37
2y = 37 - 7
2y = 30
y = 30 / 2
y = 15
Substituting y = 15 back into x = y + 7:
x = 15 + 7
x = 22.
So, the solutions are:
a) The numbers can be any pair that sums up to 10.
b) The numbers are 18 and 15.
c) The numbers are 22 and 15.
