Question

The sum of two number is 60 and the difference between their square is 1200 the numbers are

Answer 1

Let the numbers are x and y

According to the question

x+y =60---- equation 1

X^2 - y^2 = 1200

x^2−y ^2=(x+y)(x−y)

60∗(x−y)= 1200

x-y =120----- equation 2

Adding eq1 and eq2

⇒2x=180⇒x=90

Put the value of x in eq1

⇒90+y=60⇒y= -30

The numbers are 90 and -30