Question

the sum of one fifth of a number and one sixth of a number consecutive even number is 4. What is the number?

Answer 1

let the no. be x ,
next consecutive even no. will be x+2,
ATP,
x/5+(x+2)/6=4
(11x+10)/30=4
11x+10=120
11x=110
x=10
x+2=11

Answer 2

$\huge{\underline{\bigstar{\sf{solution!!}}}}$

Let X and X+1 be two consecutive numbers.

Case 1:when X is an odd number

Then X+1 is an consecutive even number

Then X/5+(X+1)/6=4

6x+5(X+1)=120

11x+5=120

11x=115

X=115/11

Case2: when X is an even number then next consecutive even number is X+2

Then X/5+(X+2)/6=4

6x+5(X+2)=120

11x+10=120

11x=120–10

X=110/11

X=10