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 75
b) 75 and 77
c) 77 and 79

Answer 1

let the two no be n and n+2
n is smaller and n+2 is the larger no
by the given condiation
\[\Large \frac{n}{5}+\frac{4}{7}(n+2)=59\]

solve this equation to get value of n

Answer 2

75 and 77

Answer 3

yes correct