Maths · Test of consistency and solution of simultaneous linear equations in two or three variables using matrices

Dashrath and Naresh are friends ,Naresh is 2 years younger than Dashrath.If the

Dashrath and Naresh are friends ,Naresh is 2 years younger than Dashrath.If the sum of their age is 56 years, find their present age.

  • A. Naresh=27 years, Dashrath =29 years
  • B. Naresh=37 years, Dashrath =29 years
  • C. Naresh=27 years, Dashrath =39 years
  • D. Naresh=47 years, Dashrath =29 years

Step-by-step solution

Let Dashrath's age be D and Naresh's age be N. Given Naresh is 2 years younger: N = D - 2. The sum is 56: D + N = 56. Substitute N: D + (D - 2) = 56 → 2D = 58 → D = 29. Then N = 29 - 2 = 27.
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