Correct Answer - Option 4 : 976
Given:
The ratio of the sum, difference, and product of two numbers is 11: 1: 120.
Calculation:
Let the two numbers be a and b, and the value of sum is 11x, the difference is 1x and the product is 120x. Now apply the above-given things.
⇒ a + b = 11x ----(1) and a × b = 120x ----(3)
⇒ a - b = 1x ----(2) (Now add (1) & (2))
⇒ a = 6x and by putting in any equations we get b = 5x
Now put these values of a and b in equation (3)
⇒ 6x × 5x = 120x
⇒ x = 4
As x is 4, than the value of a and b will be
a = 6×4 = 24, b = 5×4 = 20
Now the squares of these two numbers a and b is
242 = 576, 202 = 400, Their sum is
a2 + b2 = 576 + 400 = 976
∴ The sum of the square of 2 numbers is 976
