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If 3(x - y) = 27 and 3(x + y) = 243, then x is equal to:
- a)0
- b)2
- c)4
- d)6
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
If 3(x-y)= 27 and 3(x+y)= 243, thenxis equal to:a)0b)2c)4d)6Correct an...
⇒ 3x - y = 27 = 33 ⇔ x - y = 3 ....(i)
⇒ 3x + y = 243 = 35 ⇔ x + y = 5 ....(ii)
On solving (i) and (ii), we get x = 4.
Most Upvoted Answer
If 3(x-y)= 27 and 3(x+y)= 243, thenxis equal to:a)0b)2c)4d)6Correct an...
3^(x-y) = 3^3 ; 3^(x+y) =3^5 ; As base(3), on both sides are equal, then we can equate the powers . Therefore,
x-y = 3 ; x+y = 5 ; solving both equation , we get x=4.
x-y = 3 ; x+y = 5 ; solving both equation , we get x=4.
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If 3(x-y)= 27 and 3(x+y)= 243, thenxis equal to:a)0b)2c)4d)6Correct an...
Solution:
Given equations are:
3(x - y) = 27 ...(1)
3(x + y) = 243 ...(2)
Step 1: Simplify equation (1)
3(x - y) = 27
Dividing both sides by 3, we get
x - y = 9
x = y + 9 ....(3)
Step 2: Simplify equation (2)
3(x + y) = 243
Dividing both sides by 3, we get
x + y = 81 ...(4)
Step 3: Substituting value of x from equation (3) in equation (4), we get
(y + 9) + y = 81
2y + 9 = 81
2y = 81 - 9
2y = 72
y = 36
Step 4: Substituting value of y in equation (3), we get
x = y + 9
x = 36 + 9
x = 45
Therefore, the value of x is 45. Hence, the correct option is (C).
Given equations are:
3(x - y) = 27 ...(1)
3(x + y) = 243 ...(2)
Step 1: Simplify equation (1)
3(x - y) = 27
Dividing both sides by 3, we get
x - y = 9
x = y + 9 ....(3)
Step 2: Simplify equation (2)
3(x + y) = 243
Dividing both sides by 3, we get
x + y = 81 ...(4)
Step 3: Substituting value of x from equation (3) in equation (4), we get
(y + 9) + y = 81
2y + 9 = 81
2y = 81 - 9
2y = 72
y = 36
Step 4: Substituting value of y in equation (3), we get
x = y + 9
x = 36 + 9
x = 45
Therefore, the value of x is 45. Hence, the correct option is (C).
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If 3(x-y)= 27 and 3(x+y)= 243, thenxis equal to:a)0b)2c)4d)6Correct answer is option 'C'. Can you explain this answer?
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