Question

3
original number. Find the number.
Four-fifths of a number is 10 more than two-thirds of the number. Find the numbe
Twenty-four is divided into two parts such that 7 times the first part added to 5 tin
second part makes 146 Find a​

Answer 1

Step-by-step explanation:

(1) given,

Four fifths of number is 10 more than the two-thirds of the number.

Let, the number be x

4/5(x) = 2/3(x)+10

=> 4x/5 =2x/3+10

=> 4x/5 = (2x+30)/10

=> 4x(10) = 5(2x+30)

=>. 40x = 10x+150

=>. 40x-10x = 150

=>. 30x=150

=>. x = 150/30

=> x=5

(2) given,

Twenty four is divided into two parts.

Let, first part =x

Second part = 24-x

Also given,

7 times of first part added to 5 times of second part gives 146.

=> 7x + 5(24-x) = 146

=> 7x+120-5x = 146

=> 2x + 120 =146

=>. 2x =146-120

=>2x = 26

=> x = 26/2

=> x =13

First part = 13

Second part = 24-13 =11