#OPEN CHALLENGE
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Here is the answer -
Let X be the no. of mangoes.
From the question, we get:-
X = 2a+1
X = 3b+2
X = 4c+3
X = 5d+4
X = 6e+5
And, at last X = 7f
By adding 1 to both sides:-
X + 1 = 2a +1 +1 = 2a+2 = 2(a+1)
X + 1 = 3b + 2 + 1 = 3b+ 3 = 3(b+1)
Similarly, we can find :-
X +1 = 4(c+1)
X + 1 = 5(d+1)
X + 1 = 6(e+1)
X + 1 = 7f + 1
By this we get that when 1 is added to that no. , then it is divisible by 3, 4, 5 and 6.
We egnore least no. 59 as 59 + 1 = 60 is not divisible by 7.
The second last no. divisible by all of these :- 3, 4, 5 and 6 is 120.
So, the no. that is X + 1 should be 120y where y is any positive integer.
We should take least value of y so that X + 1 = 120.
X = 120 - 1
= 119
Therefore, 119 is your answer.
Hope it helped you.
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