Question

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

Answer 1

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

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

1

Answer 2

Answer:

10

Step-by-step explanation:

Let the two consecutive even numbers be x and x + 2

(1/5 × x )× (1/6 × x + 2 ) = 4

x / 5 × x+2/6 = 4

LCM of 5 and 6 is 30

6x / 30 + 5x + 10 / 30 = 4

11x + 10 = 4 × 30 = 120

11x = 120-10 = 110

x = 110 / 11

x = 10

VERIFICATION:

1/5 × 10 + 1/6 × 12 should be equal to 4

2 + 2 = 4

4 = 4

Hence , the answer is correct

Answer : The Number is 10