Question

two consecutive even numbers are such that half of the larger number exceerds one-fourth of the smaller number by 5. then larger number is :

Answer 1

Let us two consecutive even numbers are

X, X+2

Then

{(X+2)/2} - X/4 = 5

(2X+4)/4-X/4 = 5

(2X+4-X)/4 = 5

( X+4 ) /4 = 5

X+4 = 5×4 = 20

X = 20-4 = 16

X+2 = 18

Now check

18/2 - 16/4 = 9-4 = 5

Proved