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 77 C. 77 and 79

Answer 1

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

Answer 2

Two consecutive integers are 75 and 77

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,

`(1)/(5)x+(4)/(7)(x+2)=59`

`7x+20x+40=2065`

`27x=2025`

`x=(2025)/(27)=75`

Hence, two consecutive integers are 75 and 77

Option B is correct