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4My grandson is about as many days as my daughter in weeks, and my grandson is as many months as I am in years. My grandson, my daughter and I together are 120 years. Can you tell me my age in years ?

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CBSE/Class 11/Science/Mathematics/Unit-V: Mathematical Reasoning/Mathematical Reasoning Exam Coaching/UPSC Exams Coaching

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72 years
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72 years
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: x= grandson's age y = daughter's age z= my age : "My grandson is about as many days as my daughter is weeks," y= 7x : my grandson is as many months as I am in years. z = 12x : x+ y+ z= 120 Substitute for yand z x + 7x + 12x = 120 20x= 120 x = 120/20 x = 6 yrs is grandson's age then y=... read more

:

x= grandson's age

y = daughter's age

z= my age

:

"My grandson is about as many days as my daughter is weeks,"

y= 7x

:

my grandson is as many months as I am in years.

z = 12x

:

x+ y+ z= 120

Substitute for yand z

x + 7x + 12x = 120

20x= 120

x = 120/20

x = 6 yrs is grandson's age

then

y= 7(6) = 42 yrs is daughter's age

and

z = 12(6) = 72 yrs is my age

 

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g+s+m=120 g+7g+12g=120 20g=120 g=6 s=7g=7*6=42 m=12g=12*6=72 hence ans is=72years
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Tutor

Let my age be. x years My grandson's age. = x months = x/12 years=. (x/12).365 days My daughter's age. =(x/12).365 weeks =(x/12).365.7 days =/365 years ... read more

Let my age be.          x years

My grandson's age.   =   x months = x/12 years=.                                             (x/12).365 days

My daughter's age.  =(x/12).365 weeks

                                   =(x/12).365.7 days

                                   =[(x/12).365.7]/365  years

                                   = 7x/12 years

Now,

Grandson +. Daughter + my age = 120

x + (x/12) + (7x/12) = 120

                      x.      =.    72

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Tutor

Assuming x,y, and zx,y, and z are the ages of your grandson, your son, and you respectively, expressed in years, then your system is: 365x=52y365x=52y 12x=z12x=z x+y+z=120x+y+z=120 Therefore x=6x=6, y=42y=42 and z=72 read more

Assuming x,y, and zx,y, and z are the ages of your grandson, your son, and you respectively, expressed in years, then your system is:

 

365x=52y365x=52y
12x=z12x=z
x+y+z=120x+y+z=120

 

Therefore x=6x=6, y=42y=42 and z=72

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