Question 6 (Choice 1) - CBSE Class 10 Sample Paper for 2022 Boards - Maths Standard [Term 2] - Solutions of Sample Papers for Class 10 Boards
Last updated at May 29, 2023 by Teachoo
If Ritu were younger by 5 years than what she really is, then the square of her age would have been 11 more than five times her present age. What is her present age?
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Question 6 (Choice 1) If Ritu were younger by 5 years than what she really is, then the square of her age would have been 11 more than five times her present age. What is her present age?
Let Present age of Ritu = x years
Given that
If Ritu were younger by 5 years than what she really is, then the square of her age would have been 11 more than five times her present age.
(Ritu’s age − 5)2 = 5 × Present Age + 11
(x − 5)2 = 5x + 11
x2 + 52 − 10x = 5x + 11
x2 + 25 − 10x = 5x + 11
x2 − 10x − 5x + 25 − 11 = 0
x2 − 15x + 14 = 0
x2 − 14x − x + 14 = 0
x(x − 14) − 1(x − 14) = 0
(x − 1) (x − 14) = 0
∴ x = 1, x = 14
But x = 1 is not possible as Ritu’s age 5 years ago cannot be negative
Thus, x = 14
∴ Ritu’s Present Age = 14 years
Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.
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