Question

two numbers are in the ration of 7:5. if they differ by 16 what are the numbers?
i will mark the first ones as brainliest
but i want the correct answer indeed

Answer 1

Answer:56,40

Step-by-step explanation:let one of the no.s  be x.

∴The other no. = x-16

∴A.T.Q

x/x-16=7/5

⇒5x=7x-112

⇒2x=112

⇒x=56

∴The no.s are 56,40

Answer 2

Answer:

56 AND 40

Step-by-step explanation:

Given, two numbers are in the ratio 7 : 5

So, let those two numbers be 7x and 5x

Given, their difference is 16

According to the question,

7x - 5x = 16

=> 2x = 16

=> x = $\dfrac{16}{2}$

=> x = 8

1st number is 7x

=> 7 * 8

=> 56

2nd number is 5x

=> 5 * 8

=> 40

∴ The numbers are 56 and 40 respectively.

_____________________________________

Verification :

7x - 5x = 16

=> 7 * 8 - 5 * 8 = 16

=> 56 - 40 = 16

=> 16 = 16

∴ LHS = RHS