weeblordd
04.11.2020 •
Mathematics
The sum of the digits in a two-digit number is 12. The digit in the tens place is 2 more than the digit in the ones place. The system of linear equations shown below represents this situation, where x is the digit in the tens place and y is the digit in the ones place. Solve the system to find the two-digit number. Lbrace x + y = 12 x − y = 2
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Ответ:
The digit is 75
Step-by-step explanation:
x is the digit in the tens place
y is the digit in the ones place.
We are given a system of equations
x + y = 12 Equation 1
x - y = 2 Equation 2
Subtract Equation 2 from Equation 1
2y = 10
y = 10/2
y = 5
x - y = 2
x - 5 = 2
x = 2 + 5
x = 7
Since:
x is the digit in the tens place
x = 7 = 7 × 10 = 70
y is the digit in the ones place
y = 5 = 5 × 1 = 5
Hence, The digit is 75
Ответ:
One is wrong so double check
Step-by-step explanation: