Question

24 is divided into two parts such that 7 times the first part added to 5 times the second part makes 146. The first part is

a) 11 b) 13 c) 16 d ) 17

Answer 1

13

Explanation:

Let the two parts are x and y

as per the question

x+y=24 -----------------(A)

Also 7 times first part (x) that is 7x ,

when added to

5 times second part (y ) that is 5y

it gives 146

Hence our second equation becomes

7x+5y=146 ------------ (B)

Now we have to solve these two equations (A) and (B) to find the values of x and y

`x+y=24 \\7x+5y=146\\`

now multiplying equation A with 5 and subtracting it from B

`7x+5y=146`

`-5x-5y=-120`

we get

2x=26

dividing both sides by 2 we get

x = 13

And hence our first part is 13