Question

the ratio of the number of oranges with Janson and tom is 21:11.if janson gives ton 30 oranges both will have equal number of oranges. find the initial number of oranges with tom​

Answer 1

the number of oranges are 34

hope it helps you

Answer 2

Initial number of oranges with tom were 66

Step-by-step explanation:

=> Let the initial number of oranges with Janson be x and with tom be y.

∴ By the given condition,

$\frac{x}{y} =\frac{21}{11\\}\\\\11x = 21y\\\\y=\frac{11x}{21}$----(i)

=> Janson gives 30 oranges to tom.

∴ (x - 30) = (y + 30)

x + y = 30 + 30

x + y = 60

Substituting the equation (i) in the above equation,

$x - \frac{11x}{21} = 60\\\\\frac{21x-11x}{21}=60\\\\ 10x=60 * 21\\\\x= \frac{1260}{10}\\\\ x= 126$

=> From equation (i)

$y = \frac{11x}{21}$

Substituting the value of x,

$y = \frac{11(126)}{21}\\\\y = 11(6)\\y=66$

∴ The initial number of oranges with tom is 66.