The two consecutive integers are 2 and 3.
Explanation:
Step 1 :
Given,
the sum of 2 consecutive integer is equal to than the smaller integer multiplied by 3 minus 1.
Let p and q represent the 2 consecutive integers.
then we have q = p + 1
and p + q = 3p -1
Step 2 :
Solving the above 2 equations we have,
p + p+ 1 = 3 p - 1
2 p + 1 = 3 p -1
3p - 2p = 2
p = 2
So q = p + 1 = 2 + 1 = 3
The two integers are 2 and 3
sum of the 2 integers = 5
three times the smaller integer - 1 = 3 × 2 - 1 = 6 -1 = 5
Hence the given conditions are satisfied.
Step 3:
Answer :
The two consecutive integers are 2 , 3.