**AGE**

**In Exam these types of questions asked very few question**

**WORDS THAT TRICK YOU:**

**PAST(-) Ago,Back,Before,Earlier,Was,Were,Last Year**

**PRESENT(Now) Is,Now,Are**

**FUTURE(+) After,Hence,Next year,Later,Tomorrow,Will be,Shall be**

**We all ways Use X for the Different Persons For Preset Year Ages----------(1)**

**There is no use to use any formulas We directly get into the Question Solving**

**1) The sum of father and son is 45 years.five years ago,the product of their ages was four times the father's age at that time.The present ages of father and son,respectively are:**

**PRESENT:**

**Sum=45==>Father(f)+Son(S)**

**F+S=45**

**F=45-S**

**Take Son as X---------By (1)**

**S=X**

**F=45-X**

**PAST:**

**Five years ago(Past) so -5**

**F=(45-X-5)**

**S=X-5**

**Product of their age==>(X-5)*(45-X-5)**

**Four times the fathers age==>4(45-X-5)**

**NOW:**

**(X-5)*(45-X-5)=4(45-X-5)**

**(X-5)=4**

**X=9**

**F=45-X=36**

**S=X=9**

**2) The ratio of the present ages of Sunitha and Vinita is 4:5 respectively.Six years hence the ratio of their ages will be 14:17 respectively.what will be the ratio of their ages 12 years hence?**

**NOW:**

**Ratio S:V=4:5**

**FUTURE:**

**Six year hence(Future)**

**S+6 : V+6==>**

**4X+6 : 5X+6=14:17**

**Cross muliply**

**17(4X+6)=14(5X+6)**

**68X+102=70X+84**

**2X=18**

**X=9**

**FUTURE:**

**12 Years hence:**

**4X+12 : 5X+12**

**NOW:**

**(4*9)+12 : (5*9)+12**

**36+12 : 45+12**

**48 : 57**

**16:19**

**3) Ratio of sumita and shalini's age is 4:5 respectively,Ratio of Shalini and ritu's age is 15:16 respectively.If sumita is three-fourth Ritu's age,what is sumita's age?**

**Ratio SU:SH=4:5**

**SH:RI=15:16**

**SU:SH:RI=?**

**4 : 5**

**15 : 16**

**(4*3):(5*3)**

**(15*1):(16*1)**

**12:15:16**

**SU = 3/4 RI**

**SU=?**

**Here We don't Know the Sum of their Age We only know is The Part Hold by Each person So it can't determined the answer.**

**4) When the average age of a couple and their son was 42 years,the son married and got a child after one year.When the child was 5 years old,the average age of the family become 36 years.What was the age of the daughter-in-law at the time of marriage?**

**Average C+S==>M+W+C==> members**

**C+S=42**

**Sum=42*3=126**

**Son Married Got Child After 1 year**

**Son's Child was 5 year old**

**The Average C1+C2+S1+S2==>M1+W1+M2(Son become men)+W2+S2==>5 members**

**C1+C2+S2=?**

**Sum=(Before the M2 married sum is 126) + (After 1 year+child 5 year total 6 years=>6 * before M2 married 3 members=(6*3)) 18 + (we dont know the W2 Age so Take it X) X + (Child age) 5=(Total members=5)*(Average=36)**

**Sum : (126+(3*6)+X+5=5*36**

**Sum :149+X=180**

**X=31**

**This X is afer 1+ child 5 year**

**So 31-6=25**

**the daughter-in-law age at the time of marriage=25**

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