If one number is 75% another number and sum of their squares is 625. Find the numbers.

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If one number is 75% another number and sum of their squares is 625. Find the numbers.

A20, 10

B15, 25

C15, 20

DNone of these.

Answer:

C. 15, 20

Read Explanation:

Let the numbers be a & b.
a = 75% of b
⇒ a : b = 3 : 4
Let a & b be 3x & 4x.
⇒ a2 + b2 = (3x)2 + (4x)2
⇒ 9x2 + 16x2 = 625
⇒ x = 5
3x = 15 and 4x = 20

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