Question

Find 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.
A. 73 and 75B. 75 and 77C. 77 and 79

Answer 1

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,

$\frac{1}{5}x+\frac{4}{7}(x+2)=59$

$7x+20x+40=2065$

$27x=2025$

$x=\frac{2025}{27}=75$

Hence, two consecutive integers are 75 and 77

Option B is correct

Answer 2

75 and 77. 1/5 of 75 is 15 and 4/7 of 77 is 44.