# CLASS-7RATIO DIVIDING INTO TWO PARTS

DIVIDING INTO TWO PARTS

If a number n is divided into two parts in the ratio x : y then it would be –

First Term                            x

The first part = ---------------- X  number  = ----------- X  n

Sum Of Terms                       x  +  y

Second Term                       y

The second part = -------------- X  number = -----------  X  n

Sum Of Terms                    x  +  y

Example-1) Divide 110 in the ratio 5 : 6.

Ans.)

First Term                            x

The first part = ---------------- X  number  = ----------- X  n

Sum Of Terms                       x  +  y

5

=   -----------  X  110

11

=  5 X 10  =  50

Second Term                          y

The second part = ---------------- X  number = -----------  X  n

Sum Of Terms                     x  +  y

6

=   -----------  X  110

11

=  6 X 10  =  60

So, as per the ratio two numbers are 50 & 60     (Ans.)

Example-2) Divide 240 no.s mango in between two friends Stephen and Richard in the ratio of 15 : 9, so find out who will get how much mango ?

Ans.)

First Term                            x

The first part = ---------------- X  number  = ----------- X  n

Sum Of Terms                       x  +  y

15

=   -----------  X  240

24

=  15 X 10  =  150

Second Term                         y

The second part = ---------------- X  number = -----------  X  n

Sum Of Terms                     x  +  y

9

=   -----------  X  240

24                                                                                                                                                       =   9  X 10  =  90

Stephen gets 150 no.s Mango and Richard gets 90 no.s Mango   (Ans.)