Question 36

Seven years ago, the age of Sahil was equal to the present age of Nihal. Sum of Sahil's age 5 year ago and Nihal's age 6 years later is 58 years. If Ruchi is 4 years elder to Sahil, then what will be Ruchi's age (in years) after 10 years?

Solution

Let present ages of Sahil and Nihal be $$s$$ years and $$n$$ years respectively.

According to ques, => $$s-7=n$$ ----------(i)

Also, $$(s-5)+(n+6)=58$$

=> $$s+n=58-1=57$$

Substituting value from equation (i), we get :

=> $$s+s-7=57$$

=> $$2s=57+7=64$$

=> $$s=\frac{64}{2}=32$$

Thus, Ruchi's age = $$32+4=36$$ years

$$\therefore$$ Ruchi's age (in years) after 10 years = $$36+10=46$$ years

=> Ans - (B)


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