18. Anil wanted to distribute a certain number of chocolates with him to his two sons X and Y in the ratio 6 : 7. But Anil thought that he had 26 chocolates more than what he actually had and gave 126 chocolates to Y distributing chocolates in the same ratio. If Anil was aware of the exact number of chocolates, what would be the share of X?
Answers
Step-by-step explanation:
Let the no. of chocolates Rajesh got be x
∴ Total no. of chocolates =2x+1
Rajesh distributed his share equally among three of his friends and was also left with a chocolate.
∴(x−1) can be divided into 3 equal parts (assumed p)
∴x=3p+1 ....... (i)
As it is given that, one of the three distributed his share equally among four of his friends and was left with no chocolate.
∴p can be divided into 4 equal parts (assumed a)
∴p=4a
Substituting the value of p in eq (i), we get
x=3×4a+1
⇒x=12a+1
⇒(x−1)=12a ......... (ii)
∴(x−1) can be divided into 12 equal parts.
Therefore, 49 is the only value of x among given options which clearly defines equation (ii)
Hence, 49 is the correct answer.
MARK AZ BRAINLIEST....
Step-by-step explanation:
Let the no. of chocolates Rajesh got be x
∴ Total no. of chocolates =2x+1
Rajesh distributed his share equally among three of his friends and was also left with a chocolate.
∴(x−1) can be divided into 3 equal parts (assumed p)
∴x=3p+1 ....... (i)
As it is given that, one of the three distributed his share equally among four of his friends and was left with no chocolate.
∴p can be divided into 4 equal parts (assumed a)
∴p=4a
Substituting the value of p in eq (i), we get
x=3×4a+1
⇒x=12a+1
⇒(x−1)=12a ......... (ii)
∴(x−1) can be divided into 12 equal parts.
Therefore, 49 is the only value of x among given options which clearly defines equation (ii)
Hence, 49 is the correct answer.
MARK AZ BRAINLIEST....