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Linear Equations In Two Variables — Maths STD 10 — Question

Maharashtra BoardEnglish MediumSTD 10MathsLinear Equations In Two Variables3 Marks
Question
The difference between two numbers is 26 and one number is three times the other. Find them.
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Answer

Let x and y be two numbers
According to question
x - y = 26 ....(i)
and x = 3y .......(ii)
Putting x = 3y in (i) we get
⇒ 3y - y = 26
⇒ 2y = 26
⇒ y = 13
Putting y = 13 in (ii) we get
⇒ x = 3 × 13
⇒ x = 39
Thus number will be 39, 13.

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