MATH SOLVE

3 months ago

Q:
# If k is a positive two-digit integer, what is the tens digit of k ?1) The sum of the tens digit of k and the units digit of k is 5. 2) The tens digit of k + 6 is 3.

Accepted Solution

A:

Answer:The required positive two digit integer is 32.Step-by-step explanation:Given : If k is a positive two-digit integer.1) The sum of the tens digit of k and the units digit of k is 5.2) The tens digit of k + 6 is 3.To find : What is the tens digit of k ?Solution : Let the two digit integer be [tex]10a+b[/tex]According to question,By 1, The sum of the tens digit of k and the units digit of k is 5.i.e. [tex]a+b=5[/tex]The possible cases from counting are,14, 41, 23, 32, 50 whose sum is 5.By 2, The tens digit of k + 6 is 3.Which means take number which is added by 6 and give tens digit as 3.The only possible case is when k=32As 32+6=38 where tens digit is 3.Therefore, The required positive two digit integer is 32.