Question

Five times the larger of two consecutive odd integers is equal to one more than eight times the smaller​

Answer 1

Answer:

SMALLER INTEGER = 3

LARGER INTEGER = 5

Step-by-step explanation:

Given the following :

Five times the larger of two consecutive odd integers is equal to one more than eight times the smaller​

Let the larger = L, smaller = L - 2

5 × L = 8(L - 2) + 1

5L= 8L - 16 + 1

5L = 8L - 15

5L - 8L = - 15

-3L = - 15

Divide both sides by 3

L = 5

The smaller integer will be (L - 2)

(L - 2) = (5 - 2) = 3

HENCE, SMALLER INTEGER = 3

LARGER INTEGER = 5