Question

the ratio of two numbers is 5:8 and the difference between the squares of two numbers is 351. what is the sun of the numbers?

Answer 1

Answer:

The solution is in the above picture.

Answer 2

Answer:

Sum of the two numbers is 39

Step-by-step explanation:

Given data

Ratio of the two numbers = 5 : 8  

Difference between the squares of two numbers = 351

here we need to find sum of the two numbers

let 5x and 8x are be the two numbers [ the ratio of two numbers is 5 : 8 ]

from given data squares of two numbers = 351

 ⇒  $(8x)^{2}$ - $(5x)^{2}$  =   351

 ⇒  64$x^{2}$ - $25x^{2}$   =  351

 ⇒  39$x^{2}$ = 351

⇒    $x^{2} = \frac{351}{39}$  =  9

 ⇒   x² = 3²  

 ⇒  x = 3

therefore the two numbers are  ⇒  5x =  5(3) =  15

                                                    ⇒  8x = 8(3) = 24  

⇒ sum of the two numbers = 15 + 24 = 39