Question

21. Three consecutive even numbers are such that
one-third of the second number is equal to
one-fourth of the third number. Find the three
numbers
(A) 4, 6, 8
(B) 8, 10, 12
(C) 12, 14, 16
(D) 2, 4, 6​

Answer 1

Answer:

A) 4,6,8

Explanation:

LET THE 3 CONSECUTIVE NUMBERS = X, X+2,X+4

ACCORDING TO QUESTION =

=X+2/3=X+4/4

=4(X+2)/12=3(X+4)/12 ( LCM OF 3 AND 4 =12)

=4X +8=3X+12

=4X-3X=12-8

= X =4

SO, THE 3 CONSECUTIVE EVEN NUMBERS ARE

X=4

X+2= 4+2= 6

X+4= 4+4=8

A) 4,6,8,(ANSWER)

HOPE YOU UNDERSTAND IT.

THANK YOU.