Question

5. The product of two numbers is 2916. If one number is 36 times the other, find the numbers.
6. A group of boys collected 256 marbles for some project. The contribution of each boy was equal to the number of boys in the group. How many boys were there in the group?
7. The area of a square garden is 4,624 m². What is its dimension?​

Answer 1

Answer:

5) 9 and 324 or -9and -324

6) 16 boys

7) 68 m

Answer 2

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5. The product of two numbers is 2916. If one number is 36 times the other, find the numbers.

6. A group of boys collected 256 marbles for some project. The contribution of each boy was equal to the number of boys in the group.How many boys were in the group?

7. The area of a square garden is 4,624 m². What is its dimension?

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$\sf5) \sf \: let \: the \: numbers \: be \: a \: and \: b \\ \bf \pink{given} \\ \sf \: b = 36 \times a \\ \sf \: ab = 2916 \\ \sf \: a(36 \times a) = 2916 \\ \sf \: {a}^{2} = 81 \\ \sf \: {a}^{2} = {9}^{2} \\ \sf \therefore \: a = 9 \\ \sf \: b = 36 \times a \\ \sf \implies \: b = 36 \times 9 = 324$

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$\sf6) \: \sf let \: the \: number \: of \: boy \: be \: x \\ \sf \: contribution \: of \: each \: boy = x \: marbles \\ \bf \red{ therefore} \\ \sf \: {x}^{2} = 256 \\ \sf \: x = 16 \\ \bf \: hence \: there \: were \: 16 \: boys \: in \: the \: group$

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$\sf7) \: area \: of \: square \: garden \: = 4624 {m}^{2} \\ \sf \: let \: side \: of \: square \: garden \: be \: a \: m. \\ \bf \orange {then} \\ \sf{a}^{2} = \sqrt{4624} = 68m \\ \bf \: hene \: the \: side \: of \: square \: of \: garden \: is \: 68m$

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