| What number when added to each of the numbers 6, 7, 15, 17 will make the resulting numbers proportional? |
A) 6
B) 5
C) 4
D) 3
Correct Answer: D
Solution :
| Let the required number be \[x.\] |
| \[\therefore \] \[\frac{6+x}{7+x}=\frac{15+x}{17+x}\] |
| \[\Rightarrow \]\[102+17x+6x+{{x}^{2}}=105+15x+7x+{{x}^{2}}\] |
| \[\Rightarrow \] \[102+23x=105+22x\] |
| \[\Rightarrow \] \[x=3\] |
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