Question

The product of two positive number is 56. If their difference is 10. find the number​

Answer 1

Answer:

Question:- The product of two positive number is 56. If their difference is 10. find the number

Solution:-

Let the larger number be x+10

Smaller number= x

$x(x + 10) = 56 \\ {x}^{2} + 10x = 56 \\ {x}^{2} + 10x + 25 = 56 + 25 \\ \\ ( {x + 5})^{2} = 81 \\ x + 5 = \sqrt{81} \\ x + 5 = 9 \\ x = 9 - 5 \\ x = 4$

therefore the numbers are

x=4

x+10=14

Let's check whether it's correct or not

$4(4 + 10) = 56 \\ 4 \times 14 = 56 \\ 56 = 56$

L.H.S=R.H.S

hence verified