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A number exceeds the other number by 12. If their sum is 72, find the numbers. - Mathematics

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Question

A number exceeds the other number by 12. If their sum is 72, find the numbers.

Sum

Solution

Let x be a number, then another number will be x + 12

According to the question, x + x + 12 = 72

⇒ 2x = 72 – 12  .......[Transposing 12 to RHS]

⇒ 2x = 60

⇒ x = 30  ......[Dividing both sides by 2]

Hence, the numbers are 30 and (30 + 12) i.e. 30 and 42.

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Chapter 4: Simple Equations - Exercise [Page 112]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 4 Simple Equations
Exercise | Q 69. | Page 112

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