Math, asked by mahendragajbhiye27, 8 months ago

Gouri is 3 year younger than Rashmi and sutapa is two years elder than rashmi if their combined age is 20 year find their individual ages ?​

Answers

Answered by EliteSoul
12

Answer:

Gouri's age is 4 years

Rashmi's age is 7 years

Sutapa's age is 9 years

  • Step-by-step explanation:

Imagine,gouri's age is x years

rashmi's age y years

sutapa's age is z years

1st equation is: x=y-3

2nd equation is: z=y+2

3rd equation is: x+y+z=20

From the first equation we get: y=x+3

Then,by substituting the value of y into the 2nd equation we get:

z=x+5

Then,by substituting the values of x,y,z into the 3rd equation,we get:

y-3+x+3+x+5=20

or, 2x+y+5=20

or, 2x+x+3+5=20

or, 3x+8=20

or, 3x=12

or, x=12/3=4

so, gouri is 4 years old

then,rashmi's age is: 4+3=7 years

Then,sutapa's age is : 7+2=9 years

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