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.

Rs. 39, Rs, 66

Step-by-step explanation:

Let the greater part = x

The smaller part = y

x + y = 105    (I)

     x =  105 - y (II)

Two times the greater part is 15 less than three times the smaller part:

2x -15 = 3y

2x =  3y + 15

2x - 3y = 15  (III)

Substitute x = 105 - y in equation (III)

2*(105 - y) - 3y = 15

2*105 - 2*y - 3y = 15    {distributive property}

210 - 2y - 3y = 15

Combine like terms

210 - 5y = 15

Subtract 210 from both sides

-5y = 15 - 210

-5y = - 195

Divide both sides by -5

y = -195/-5

y = 39

Plug in y = 39 in equation (II)

x = 105 - 39

x = 66

c.)

step-by-step explanation:

answer: 4  

the square root of 16 is 4. it is a very simple mathematic concept. a square root when a number multiplied by itself will result in a number. here, the number 16 comes when 4 is multiplied by 4. hence the square root of 16 is 4. you can always figure out a square root by the inverse operation of squaring.