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Q.

One year ago the ratio of Anil’s and Sunil’s age was 6:7. Four years hence their ratio would become 7:8. How old is Sunil?


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a

36

b

26

c

46

d

40 

answer is A.

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Detailed Solution

Concept: Find the relationship between Anil and Sunil's ages from a year ago. Similarly, after 4 years, determine the relationship between their ages. In order to solve, substitute the values.
Let us assume Anil’s age as Question Imageand Sunil’s age as Question Imageratio of their age one year ago was 6:7
Question ImageThus we can write it as,
Question ImageIn this way, we established the age relationship between Anil and Sunil a year ago.
after 4 years the ratio of their ages becomes Question ImageThus their age after 4 years Question ImageThe ratio of Anil and Sunil after four years is 7:8
Question ImageThe preceding expression can be written as,
Question ImageCross multiply and put Question ImageQuestion ImageSo, a year ago, Anil and Sunil were 30 and 35 years old.
So, the present age of Anil Question ImagePresent age of Sunil Question ImageHence, the correct answer is option 1.
 
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