Question

the sum of the digits of a two-digit number is 14. the first digit is 4 less than twice the second digit. what is the number

Answer 1

86

Explanation:

t = ten's digit u= one's digit

t + u = 14 t = 2u - 4

In the first equation substitute for t 2u - 4 that we find in the second equation above.

t + u = 14

2u - 4 + u = 14 Combine the u's

3u - 4 = 14 Now add 14 to both sides

3u = 18 Divide both sides by 3

u = 6. We found the unit's digit, now we will find the ten's unit by plugging in 6 for u in the first equation above.

t + u = 14

t + 6 = 14 Subtract 6 from both sides

t = 8

So, your answer is 86.