Question

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

Plz solve it very clear to understand it and every move in every step.

Answer 1

Let the number be~x

1/5 ×x +1/6×x=4

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