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If a Number is Thrice the Other and Their Sum is 68, Find the Numbers.

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Question

If a number is thrice the other and their sum is 68, find the numbers.

Sum
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Solution

Let the two numbers be x and y respectively.
Then, we have
x = 3y    ....(i)
And,
x + y = 68
⇒ 3y + y = 68
⇒ 4y = 68
⇒ y = 17
⇒ x = 3 x 17
= 51
Thus, the two numbersare 51 and 17 respectively.

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Methods of Solving Simultaneous Linear Equations by Elimination Method
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Chapter 5: Simultaneous Linear Equations in Two Variables - Exercise 8.3

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Frank Mathematics Part 1 [English] Class 9 ICSE
Chapter 5 Simultaneous Linear Equations in Two Variables
Exercise 8.3 | Q 3
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