Question

1.) A husband 3 years older than his wife. The Sum of their ages is 73 years. Calculate the difference between the square of their ages.​

Answer 1

219

Explanation:

H-W=3

H+W =73

2H=76

H=38

W=35

38² -35² = 219

Answer 2

• The difference between the square of their ages is 219

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Let the husband's age be h and wife's age be w.

The difference of their age is 3 and sum is 73:

• h - w = 3
• h + w = 73

The difference between the squares is:

• h² - w² = Difference of squares
• (h + w)(h - w) = Identity for difference of squares
• 73*3 = Substitute
• 219 Answer