1.

1). 10242). 18563). 15364). 2048

Answer»

LET the two numbers be 7X and 9x respectively.

7x × 9x = 4032(GIVEN)

⇒ 63x2 = 4032

⇒ x2 = 64 = 82

⇒ x = 8

The difference between the squares of these two numbers = (9x)2 – (7x)2 = 81x2 – 49x2 = 32x2 = 32 × 64 = 2048

∴ The difference between the squares of these two numbers = 2048



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