The ratio of the sum, difference and product of two numbers is 11 : 1

1.	The ratio of the sum, difference and product of two numbers is 11 : 1 : 120. What is the sum of their squares?1. 5492. 8083. 6564. 976
Answer» 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

The ratio of the sum, difference and product of two numbers is 11 : 1 : 120. What is the sum of their squares?1. 5492. 8083. 6564. 976

Answer» 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

Discussion

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