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If a : b = 3 : 4, the value of (2a+3b) : (3a+4b) is
- a)54 : 25
- b)6 : 7
- c)17 : 24
- d)18 : 25
Correct answer is option 'D'. Can you explain this answer?
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If a : b = 3 : 4, the value of (2a+3b) : (3a+4b) isa)54 : 25b)6 : 7c)1...
Given: a : b = 3 : 4
To find: (2a 3b) : (3a 4b)
Solution:
We can simplify the expression by substituting the given value of a : b.
a : b = 3 : 4
So, we can write:
a = (3/4) b
Substituting this value in the expression (2a 3b), we get:
2a + 3b = 2(3/4)b + 3b = (6/4)b + (12/4)b = (18/4)b
Similarly, substituting the value of a in the expression (3a 4b), we get:
3a + 4b = 3(3/4)b + 4b = (9/4)b + (16/4)b = (25/4)b
So, the required ratio is:
(2a 3b) : (3a 4b) = (18/4)b : (25/4)b
Simplifying this ratio, we get:
(18/4)b : (25/4)b = 18 : 25
Therefore, the answer is option (D) none of these.
To find: (2a 3b) : (3a 4b)
Solution:
We can simplify the expression by substituting the given value of a : b.
a : b = 3 : 4
So, we can write:
a = (3/4) b
Substituting this value in the expression (2a 3b), we get:
2a + 3b = 2(3/4)b + 3b = (6/4)b + (12/4)b = (18/4)b
Similarly, substituting the value of a in the expression (3a 4b), we get:
3a + 4b = 3(3/4)b + 4b = (9/4)b + (16/4)b = (25/4)b
So, the required ratio is:
(2a 3b) : (3a 4b) = (18/4)b : (25/4)b
Simplifying this ratio, we get:
(18/4)b : (25/4)b = 18 : 25
Therefore, the answer is option (D) none of these.
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If a : b = 3 : 4, the value of (2a+3b) : (3a+4b) isa)54 : 25b)6 : 7c)17 : 24d)18 : 25Correct answer is option 'D'. Can you explain this answer?
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