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
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)