ShotGunGirl Group Title Find two consecutive even numbers such that the difference of one-half the larger number and two-fifths the smaller number is equal to five. 38 and 40 40 and 42 42 and 44 Thank you! 2 years ago 2 years ago

1. ParthKohli Group Title

Hmm I see. You may check from the options.

2. ParthKohli Group Title

$$\Large \color{MidnightBlue}{\Rightarrow {1 \over 2}x - {2 \over 5}(x - 1) = 5 }$$

3. A.Avinash_Goutham Group Title

38 nd 40

4. ParthKohli Group Title

Nope. Not correct.

5. ParthKohli Group Title

To get a whole number 5, the smaller number must be divisible by 5, or else you get a fraction/decimal

6. ParthKohli Group Title

Basically the bigger one must be divisible by 2 and the smaller one by 5.

7. ShotGunGirl Group Title

It's not 38 and 40 parth?

8. ParthKohli Group Title

Nope. 38 is not divisible by 5.

9. ShotGunGirl Group Title

So I see. Thank you.

10. ParthKohli Group Title

One of these options have the smaller number divisible by 5.

11. ParthKohli Group Title

If my answer confused you, then solve the equation I gave, or check it by multiplying the bigger one by 1/2 and smaller one by 2/5 then subtracting them.

12. ShotGunGirl Group Title

Thank you ParthKohli, for all the help.

13. ParthKohli Group Title

=)

14. simplicity Group Title

40 and 42 will be the correct answer the equation will be$x/2-2(x-2)/5=5$

15. ParthKohli Group Title

Oh no yeah you're correct

16. ParthKohli Group Title

Even numbers.

17. ParthKohli Group Title

But I was correct about divisible by 5 part

18. ShotGunGirl Group Title

Thank you both<3