The average of two numbers is 103. If 2 is added to the greater number, then the ratio of this number to the smaller number becomes 8 : 5.
Answer & explanation
Correct answer: option 2
Average age = \(\frac{Total \;sum \;of\; all }{Total \;number\;of \;observations}\)
Sum of 2 numbers = 103 × 2 = 206
2 is added to 2nd number , New sum = 206 + 2 = 208
Ratio of larger to smaller number = 8 : 5
13R = 208
1R = 16
Larger number = 8R
= 8 × 16
= 128
Originally larger number is = 128 - 2 = 126
The correct answer is option (2) : 126