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The Sum of Two Numbers is 18. If One is Twice the Other, Find the Numbers.

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Question

The sum of two numbers is 18. If one is twice the other, find the numbers.

Sum
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Solution

Let the first number = x

and the second number = y

According to the condition

x + y= 18 …(i)

and x = 27 ….(ii)

Substitute the eq. (ii) in eq. (i), we get

2y + y= 18

x= 2y = 18

⇒ 3y= 18

⇒ y = `18/3 = 6`

Now, substitute the value of y in eq. (ii), we get

x = 2 x 6= 12

∴ The two numbers are 12, 6

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Chapter 12: Simple Linear Equations (Including Word Problems) - Exercise 12 (D)

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Selina Concise Mathematics [English] Class 7 ICSE
Chapter 12 Simple Linear Equations (Including Word Problems)
Exercise 12 (D) | Q 8
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