It is 3y because of the calculation being equivalent
Answer:
A two-digit number can be written as:
a*10 + b*1
Where a and b are single-digit numbers, and a ≠ 0.
We know that:
"The sum of a two-digit number and the number obtained by interchanging the digits is 132."
then:
a*10 + b*1 + (b*10 + a*1) = 132
And we also know that the digits differ by 2.
then:
a = b + 2
or
a = b - 2
So let's solve this:
We start with the equation:
a*10 + b*1 + (b*10 + a*1) = 132
(a*10 + a) + (b*10 + b) = 132
a*11 + b*11 = 132
(a + b)*11 = 132
(a + b) = 132/11 = 12
Then:
a + b = 12
And remember that:
a = b + 2
or
a = b - 2
Then if we select the first one, we get:
a + b = 12
(b + 2) + b = 12
2*b + 2 = 12
2*b = 12 -2 = 10
b = 10/2 = 5
b = 5
then a = b + 2= 5 + 2 = 7
The number is 75.
And if we selected:
a = b - 2, we would get the number 57.
Both are valid solutions because we are changing the order of the digits, so is the same:
75 + 57
than
57 + 75.
Answer:
i think it is the 3rd one
Step-by-step explanation:
Answer: D
Step-by-step explanation:
Answer:
x = -43
y = -4
Step-by-step explanation:
In this question, you will have to find the value of x in terms of y using one of the equations and substituting the value in the other equation or vice versa.
Let's assume the numbers x and y, now we write the expressions.
x + y = -47
x - y = -39
Take the second equation and find x.
<u>Calculations:</u>
x - y = -39 (Add y on both sides)
x = -39 + y
Now that you got the value of x in terms of y, we can substitute.
<u>Calculations:</u>
(-39 + y ) + y = -47
2y - 39 = -47
2y = -8
y = -8/2 = -4
y = -4
Now that we got y, we can substitute that value in any of the equations to find x.
x - 4 = -47 or x + 4 = -39
x = -43
