If the same number be added to the numbers 5, 11, 15 and 31, the resulting numbers are in proportion. Find the number.
Linear Eqns One Variable
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Question

If the same number be added to the numbers 5, 11, 15 and 31, the resulting numbers are in proportion. Find the number.

KnowledgeBoat · Accepted Answer

Let x be added to each number. The numbers will then be 5 + x, 11 + x, 15 + x and 31 + x. According to question, By cross multiplying, we get : ⇒ (5 \+ x)(31 \+ x) = (15 \+ x)(11 \+ x) ⇒ 155 \+ 5x \+ 31x \+ x² = 165 \+ 11x \+ 15x \+ x² ⇒ 155 \+ 36x \+ x² = 165 \+ 26x \+ x² ⇒ 36x \- 26x \+ x² \- x² = 165 \- 155 ⇒ 10x = 10 ⇒ x = ⇒ x = 1 Hence, 1 is the number that should be added to the given numbers.

Mathematics

If the same number be added to the numbers 5, 11, 15 and 31, the resulting numbers are in proportion. Find the number.

Linear Eqns One Variable

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