Question

There are three odd integers.the second is two more than the first,the third is four more than the first.if three times the first is more than twice the third.what is the third integer

Answer 1

Answer:

You can understand that they are three consecutive odd numbers. By trial and error the numbers are 11 , 13 , 15. 11×3 is greater than 15×2.

33>30

Answer 2

Answer:

The third integer is 13.

Step-by-step explanation:

Let us assume that the first odd integer is x.

The second integer is two more than the first.

Second integer = x + 2

The third integer is 4 more than the first.

Third integer = x + 4

Three times of first is more than twice of third

3x > 2(x + 4)

3x > 2x + 8

3x - 2x > 8

x > 8

So, the value of x is greater than 8 and x is an odd integer.

Case : If x = 9

Therefore, the second odd integer will be (9+2) i.e. 11.

And third odd integer will be (9 + 4) i.e. 13.

Also, satisfy the condition that

three times of the first odd integer is more than twice the third odd integer.

3 × 9 > 2 × 13

27 > 26

Therefore, three odd integers maybe 9, 11, and 13.