Select the option in which the numbers share the same relationship as that shared by the given pair of numbers.
185:199
- A126 : 134
- B178 : 187
- C139 : 153
- D89 : 106
Solution & Step-by-step Explanation
Let's find the logic behind the given pair 185:199.
The difference between the two numbers is:
199−185=14
Now, let's examine the relationship between the difference (14) and the digits of the first number (185):
The sum of the digits of 185 is:
1+8+5=14
So, the logic is:
Second Number=First Number+(Sum of its digits)
Let us test this pattern across the options:
Option A: 126 : 134
Sum of digits of 126=1+2+6=9
126+9=135
=134
Option B: 178 : 187
Sum of digits of 178=1+7+8=16
178+16=194
=187
Option C: 139 : 153
Sum of digits of 139=1+3+9=13
139+13=152
=153
Option D: 89 : 106
Sum of digits of 89=8+9=17
89+17=106
This perfectly matches the given relationship.
The difference between the two numbers is:
199−185=14
Now, let's examine the relationship between the difference (14) and the digits of the first number (185):
The sum of the digits of 185 is:
1+8+5=14
So, the logic is:
Second Number=First Number+(Sum of its digits)
Let us test this pattern across the options:
Option A: 126 : 134
Sum of digits of 126=1+2+6=9
126+9=135
=134
Option B: 178 : 187
Sum of digits of 178=1+7+8=16
178+16=194
=187
Option C: 139 : 153
Sum of digits of 139=1+3+9=13
139+13=152
=153
Option D: 89 : 106
Sum of digits of 89=8+9=17
89+17=106
This perfectly matches the given relationship.