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Mathematics

The product of two numbers is 256. If one number is four times the other, find the numbers.

Sq & Sq Roots

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Answer

Let the first number be xx

The second number is four times the other = 4x4x

Hence,

x×4x=256⇒4x2=256⇒x2=2564⇒x2=64⇒x=64⇒x=8⇒4x=4×8=32x \times 4x = 256\\[1em] ⇒ 4x^2 = 256\\[1em] ⇒ x^2 = \dfrac{256}{4}\\[1em] ⇒ x^2 = 64\\[1em] ⇒ x = \sqrt{64}\\[1em] ⇒ x = 8\\[1em] ⇒ 4x = 4 \times 8 = 32

The numbers are 8 and 32.

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