The ratio between two number is 3:4 ,if each number be increased by 9, the ratio becomes 18:23 find the sum of the number
a) 135
b) 105
c) 155
d) 165
e) None of these

1 Answer

Answer :

Let the two numbers be 3x and 4x.
When they are increased by 9 they become 3x + 9 and 4x + 9.
It is given that the ratio is 18:23
Thus, 3x + 9/4x + 9 = 18:23
23(3x + 9) = 18(4x + 9)
69x + 207 = 72x + 162
69x – 72x = 162- 207
 -3x = -45
X = 15
Thus two numbers are 3x15 = 45 and 4 x 15 = 60
And the sum is 60+45 = 105
Answer: b)

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