Five times the first of two consecutive odd integers is three times the second. Find the integers.

Question

Five times the first of two consecutive odd integers is three times the second. Find the integers.

 (smaller integer)

 (larger integer)

Answer 1

Let the consecutive integers be n ,(n+2) {As they are Consecutive Odd integers }

Then , just convert the word into equation

5 n = 3 (n+2) {5 times the first integer is 3 times the second integer }

Solve the above, to get

5n = 3n + 6

2n = 6

n = 3

(n+2) => 3+2 => 5

So, the smaller integer is 3 and larger integer is 5.

you can also check, 5 times the first integer is 3 times the second integer => 5(3) = 3(5)

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