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  9. Q11

RBI Grade B Officer (General / DEPR / DSIM) 2019 · Question 11 of 120

My sister was born 26 yrs after my mother was born and I was born 28 yrs after my father was born. The present average age of my family is 32.5 yrs. After 3 yrs from now my sister will get married and will leave the family, then average age of family will become 41 yrs. What is the present age of my mother?(in yrs)

Quantitative Aptitude

  1. AA. 40
  2. BB. 50
  3. CC. 45
  4. DD. 41
  5. EE. 42Correct

Answer: E. E. 42

Explanation

Let the current age of father and mother be ‘x’ yrs and ‘y’ yrs respectively. Then son’s present age =(𝑥−28)𝑦𝑟𝑠 Then daughter’s present age= (𝑦−26)𝑦𝑟𝑠 Atq (𝑥+ 𝑦+ 𝑥−28 + 𝑦−26) = 130 (𝑥+ 𝑦) = 92 … . . (𝑖) Again after 3 yrs (𝑥+ 3 + 𝑦+ 3 + 𝑥−25) = 123 (2𝑥+ 𝑦) = 142 … . (𝑖𝑖) On solving the above equation we get 𝑦= 42 𝑦𝑒𝑎𝑟𝑠. Mother’s present age= 42 𝑦𝑟𝑠. www.teachersadda.co.in | www.sscadda.com | www.bankersadda.com | www.adda247.com

Source: RBI Grade B 2019 Phase-I recollected paper with answers and solutions (Adda247 compilation) · memory-based

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