Taking a suitable example explain the important of sorting things at home
Answers
Answer:
» Four numbers are in AP whose sum is 40.
• Let four numbers be (a - 3d), (a - d), (a + d), (a + 3d)
A.T.Q.
=> a - 3d + a - d + a + d + a + 3d = 40
=> 4a = 40
=> a = 40/4
=> a = 10 _______ (eq 1)
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» The ratio of the product of first and fourth term is 2:3.
\dfrac{a \: - \: 3d}{a \: + \: 3d} \: = \: \dfrac{2}{3}
a+3d
a−3d
=
3
2
Cross-multiply them..
=> 3(a - 3d) = 2(a + 3d)
=> 3a - 9d = 2a + 6d
=> 3(10) - 9d = 2(10) + 6d [From (eq 1)]
=> 30 - 9d = 20 + 6d
=> 30 - 20 = 6d + 9d
=> 10 = 15d
=> d = 10/15
=> d = 2/3 ________ (eq 2)
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» We have to find the numbers. (Means AP.)
• a - 3d = 10 - 3(2/3)
=> 10 - 2 = 8
• a - d = 10 - 2/3
=> (30 - 2)/3 = 28/3
• a + d = 10 + 2/3
=> (30 + 2)/3 = 32/3
• a + 3d = 10 + 3(2/3)
=> 10 + 2 = 12
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\textbf{Number are : 8, 28/3, 32/3 and 12}Number are : 8, 28/3, 32/3 and 12
__________ [ANSWER]
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✡ From above calculations we get numbers 8, 28/3, 32/3 and 12
Add all the numbers.
=> 8 + 28/3 + 32/3 + 12
=> (24 + 28 + 32 + 28)3
=> 120/3
=> 40
_______ [HENCE VERIFIED]
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Answer:
Materials are grouped together on the basis of similarities and differences in their properties. Materials are grouped together for convenience and to study their properties. Grouping materials saves our time, energy and makes our work easier. When things and materials in kitchen is properly sorted and organised, it makes our task easier. We can quickly find every gadget in that kitchen without shuffling everything on their countertop.