T us assume the two numbers to be "x" and "y".
Then
2x + y = 310
And
x - y = 55
Let us take the second equation and find the value of x in relation to y.
x - y = 55
x = y + 55
Now let us put the value of x in the first equation, we get
2x + y = 310
2(y + 55) + y = 310
2y + 110 + y = 310
3y = 310 - 110
3y = 200
y = 200/3
= 66 2/3
Now putting the value of y in the second equation, we get
x - y = 55
x - (200/3) = 55
3x - 200 = 55 * 3
3x = 165 + 200
x = 365/3
= 121 2/3
So the value of x is 121 2/3 and the value of y is 66 2/3
Answer:
x = 10
Explanation:
A square is a quadrilateral in which all sides are equal.
We are given that:
ABCD is a square
AB = 5x - 10
BC = 2x + 20
Since we're talking about a square, therefore:
AB = BC
5x - 10 = 2x + 20
5x - 2x = 20 + 10
3x = 30
x = 30/3
x = 10
Now, we can check our solution:
AB = 5(10) - 10 = 40 units
BC = 2(10) + 20 = 40 units
We can see that both sides are equal
Hope this helps :)