Question

A sum of Rs 105 Is divided into two parts . if two times the greater part is 15 less than three times the smaller part, find the parts of the sum .

Answer 1

Answer

If Rs 105 is divided into 2 parts and twice the greater part is equal to 15 less than thrice the smaller part, then the parts are 60 and 45

Step-by-step explanation:

Given

A sum of Rs 105

Let us take x as the greater part and y as the smaller part

Then x +y = 105

x= 105-y

Given

2x = 3y -15

x = 105 -y

So 2x = 2(105-y) = 210-2y

So

210-2y = 3y -15

5y = 210 +15

5y = 225

y = 225/5 = 45

So x = 105-45 = 60

So the two parts are 60 and 45 respectively

Answer 2

Answer:

The parts of the sum are as following:

The greater part is 60.

The smaller part is 45.

Step-by-step explanation:

Total sum =105

The sum is said to be divided in two parts, let us consider greater part to be x and thus the lower part will be (105-x)

(greater+lower=105)

It is said that 2 times the greater part is 15 less than three times the smaller part, this can be written as an equation:

2x=3(105-x)-15

2x=315-3x-15

2x+3x=315-15

5x=300

x=300/5

x=60

Thus the greater part of the sum is 60 and the lower part of the sum is (105-60)=45