SSC MTS Model Paper 2

Question : 31 of 150

Marks: +1, -0

The product of two numbers is 120 and the sum of
their squares is 289. The sum of the two numbers
is

Solution:

(1) Let the numbers be a and b.
According to the question,
ab = 120 ...(i)
and a2 + b2 = 289 ...(ii)

∴ ( a + b ) ^ { 2 } = a ^ { 2 } + b ^ { 2 } + 2 a b

= 289 + 2× 120 = 289 + 240 = 529

∴

a + b = √ { 529 } = 23

Go to Question:

Prev Question

Next Question