Question

1) Gauri is 3 years younger than Rashmi and Sutapa is 2 years elder than Rashmi.If their combined age 20 years, find their individual age.​

Answer 1

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

Answer 2

Answer:

gauri's age = 7-3 = 4

rashmi's age = 7

sutapa's age = 7 + 2 = 9

Step-by-step explanation:

let rashmi's age = x

gauri's age = x-3

sutapa's age = x+2

combined age = 20

therefore, x + (x-3) + (x+2) = 20

x + x - 3 + x + 2 = 20

3x - 1 = 20

3x = 20 + 1

3x  = 21

x = 21/3

x = 7

hope it helps you