Question

In a two digit number, the sum of the digit is 14. Twice the tens digit exceeds the units digit by one. Find the numbers?​

Answer 1

Answer:

59

Step-by-step explanation:

x= tens place of number

y= ones place of number

set up equations:

"sum of the digit is 14"

sum is the result of addition

x+y=14

"Twice the tens digit exceeds the units digit by one"

2x is bigger than y by 1

if 2x is bigger, then add 1 to the opposite side to balance the equation:

2x=y+1

with 2 equations you can solve for 2 variables:

2x=y+1

2x-1=y

substitute into x+y=14

x+(2x-1)=14

3x-1=14

3x=15

x=5

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subtitute to find y

x+y=14

5+y=14

y=9

number is 59

Answer 2

Answer:

5 and 9

5+9=14

5×2=10 which is one more than 9

10-9=1