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Answers
Answer:
2. 6x-2x=5-17
4x=12
x=4/12
x=3
Answer:
Step-by-step explanation:
1) 3 (x + 2 ) - 2 (x - 1 ) = 7
⇒3x + 6 - 2x + 2 = 7 (∵- × + = - ; - × - = + )
⇒x + 8 = 7
⇒ x = 7 - 8 (∵transposing )
⇒ x = - 1 is the answer.
2) 6x + 5 = 2x + 17
⇒ 6x - 2x = 17 - 5 (∵transposing )
⇒4x = 12
⇒ x = 12/4 (∵transposing )
⇒ x = 3.
Check :
6 (3 ) + 5 = 2 (3 ) + 17
18 + 5 = 6 + 17
23 = 23 .
Hence, it is verified.
3) Let the three consecuconsecutive numbers are x, x + 1 and x + 2.
According to thequestion,
x + x + 1 + 15 = x + 2
⇒ 2x + 16 = x + 2
⇒2x - x = 2 - 16 (∵transposing )
⇒ x = - 14
∴ The three consecutive numbers are - 14, -14+ 1 and -14+2 = - 14 , - 13 and - 12.
4)Let's Ravish age = x years
Shikha's agage = x + 3
According to the question,
x + x + 3 = 37
2x + 3 = 37
2x = 37 - 3 (∵transposing )
2x = 34
x = 34/2 (∵transposing )
x = 17
∴ Ravish present age = 17 years and
Shikha's age = 3 + 17 = 20 years
5) Let the breadth of the rectangurectangularfield = b = x meters
It's length = 2x meters.
Perimeter of the rectangular field = 228 meters
∴ 2 ( l + b ) = 228
⇒ 2 (2x + x ) = 228
⇒3x = 228 / 2 (∵transposing )
⇒ 3x = 114
⇒ x = 114/3 (∵transposing )
⇒ x = 38
∴ Breadth of the rectangular field = b = 38 meters
Length of the rectangular field = l = 2 × 38 = 76 meters