Question

24 is divided into two parts such that 7 times the first part added to 5 times the second part make 146.Find each part

Answer 1

Number=24
Let First part=x
Then Second Part=24-x

$\mathbf{Let Understand why we take (24-x) \\as if first part be 12 then\\ second=24-12 Now you might Understand.}$

Now 7 × the first part
=7×x
=7x

Now 5 × the second part
=5(24-x)
=120-5x

When added Become 146

A/Q
7x+120-5x=146
2x+120=146
2x=146-120
2x=26
x=26/2
x=13

First Part=x=13
Second Part=24-x=24-13=11

$\boxed{\mathbf{First\:part=13}}$

$\boxed{\mathbf{Second\:part=11}}$

Answer 2

Answer:

Number=24

Let First part=x

Then Second Part=24-x

Now 7 × the first part

=7×x

=7x

Now 5 × the second part

=5(24-x)

=120-5x

When added Become 146

A/Q

7x+120-5x=146

2x+120=146

2x=146-120

2x=26

x=26/2

x=13

First Part=x=13

Second Part=24-x=24-13=11

THANK YOU !