nancy00
03.12.2021 •
Mathematics
Which of the statements below are true?
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Ответ:
The numbers are 105 and 50
Solution:
Let "x" be the first number
Let "y' be the second number
Twice a number plus twice a second number is 310
Therefore,
twice of x + twice of y = 310
2x + 2y = 310 eqn 1
The difference between the numbers is 55
x - y = 55 eqn 2
Let us solve eqn 1 and eqn 2
From eqn 2,
x = 55 + y eqn 3
Substitute eqn 3 in eqn 1
2(55 + y) + 2y = 310
110 + 2y + 2y = 310
4y = 310 - 110
4y = 200
y = 50Substitute y = 50 in eqn 3
x = 55 + 50
x = 105Thus the numbers are 105 and 50