Difference between square of 2 number is equal to 95 sum of 2 number i

1.	Difference between square of 2 number is equal to 95 sum of 2 number is 19 find difference between 2 number
Answer» Given: Difference of square of TWO numbers = 95 Sum of two numbers(same numbers) = 19 To Find: Diference between the numbers Answer: Explanation: Let the two numbers be x and y respectively. ATQ, ${x}^{2} - {y}^{2} = 95.......(1)$ and x + y = 19 .........(2) We know that, ${x}^{2} - {y}^{2} = (x +y)(x - y)$ ALSO , In the question (x+y) i.e. sum of the numbers is given . So, we can substitute the value of (x+y) to find the value of (x-y) i.e. difference of the two numbers Substituting the values, we get: $19 \times (x - y) = 95$ Dividing both sides by 19, we get: $(x - y) = \frac{95}{19}$ (x-y) = 5 Therefore , the difference between the numbers is 5. Answer is 5. Other Formulas $1) \: {x}^{3} + {y}^{3} = (x + y)( {x}^{2} + {y}^{2} - xy)$ $2) \: {x}^{3} - {y}^{3} = (x - y)( {x}^{2} + {y}^{2} + xy)$ $3) \: {x}^{2} + {y}^{2} = (x - y)^{2} + 2xy \: or \: (x + y)^{2} - 2xy$ $4) \: (x + y)^{2} = {x}^{2} + {y}^{2} + 2xy$ $5) \: (x - y)^{2} = {x}^{2} + {y}^{2} - 2xy$