the sum of one fifth of a number and one sixth of its next consecutive even number is 4 .what is the number ?
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Answer:
There are two numbers 115/11 (10.4⁰5⁰), 10
Step-by-step explanation:
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
Case 2:
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
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