Answer:
Two consecutive integers are 75 and 77
Step-by-step explanation:
Given that two consecutive odd numbers such that the sum of one-fifth of the smaller and four-sevenths of the larger is equal to fifty-nine.
we have to find the two consecutive integers.
Let two consecutive integers are x and (x+2)
Acc to question,
[tex]\frac{1}{5}x+\frac{4}{7}(x+2)=59[/tex]
[tex]7x+20x+40=2065[/tex]
[tex]27x=2025[/tex]
[tex]x=\frac{2025}{27}=75[/tex]
Hence, two consecutive integers are 75 and 77
Option B is correct
