Question

Rita's prosent are is twice the one of her cousin
Sandeep syears ago, the sum of their agas ruas
14 - What are their present ages? in maths​

Answer 1

Answer:

Let the Rita's age be x and hers cousin's age be y.

By the given condition ,

x = 2y

x - 2y = 0 .....................(1)

5 years ago ,

Rita's age = x - 5

Cousins age = y - 5

By the second given condition ,

(x - 5) + (y - 5) = 14

x - 5 + y - 5 = 14

x + y - 10 = 14

x + y = 14 + 10

x + y = 24 .........................(2)

[subtracting equation no. (2) from (1)]

x - 2y = 0

x + y = 24

_________

-3y = -24

3y = 24

y = 24 / 3

y = 8

substitute y = 8 in equation no. (1)

x + y = 24

x + 8 = 24

x = 24 - 8

x = 16

$solution \: \: x = 16 \: \: . \: y = 8$

Thus ...

Rita's present age is 16yrs and cousin's age is 8yrs .