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zlopas [31]
3 years ago
8

The sum of the digits of a two digit number is 14. The difference between the tens digit and the units digit is 2.

Mathematics
2 answers:
galben [10]3 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

Sum of the 2 digits x and y is 14, thus

x + y = 14

The difference between the tens digit x and the ones digit y is 2, thus

x - y = 2

The system of equations representing the problem is

x + y = 14 → (1)

x - y = 2 → (2)

Add the2 equations term by term to eliminate y

2x = 16 ( divide both sides by 2 )

x = 8

Substitute x = 8 into (1)

8 + y = 14 ( subtract 8 from both sides )

y = 6

The 2 digit number is 86

Rama09 [41]3 years ago
6 0

Step-by-step explanation:

the system of equations representing the word problem is

x+y=14, y-x=2

let x be the tens digit and y be the ones digit

solve simultaneously the two equations,

x+y-x+y=14+2

2y=16

y=8

now put in y=8

8-x=2

x=8-2

x=6

so the digit is 68

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