Question

Solve the word problems using equations. The ratio of two numbers is 7:5.If the difference between these numbers is 12,find the numbers.​

Answer 1

Answer:

Step-by-step explanation:

Let us consider the ratio of two numbers be x

The two numbers are 7x and 5x

Since two numbers differ by 12, we can write the equation

7x – 5x = 12

2x = 18

x= 9

Therefore the two numbers are

7x = 7 x 9 = 63

and

5x = 5 x 9 = 45

∴ The two numbers are 63 and 45.

           Hope you will find it useful. Take care.

Answer 2

Answer:

let the two numbers be x and you

given x:y=7:5

x/y=7/5

5x=7y

given x-y=12

multiple the above eq with 5

then 5x-5y=60

we know 5x=7y

then 7y-5y=60

2y=60

y=30

sub y in x-y=12 then x=y+20

therefore x=50