The ratio of the present age of Ravi and his wife is 8 : 5 and 6 years

1.	The ratio of the present age of Ravi and his wife is 8 : 5 and 6 years hence the ratio of their ages will be 12 : 8 If the ratio of their ages at the time of their marriage was 9 : 3, how many years ago were they married?1. 102. 243. 164. 215. None of the above/More than one of the above
Answer» Correct Answer - Option 4 : 21 Given: The ratio of the present age of Ravi and his wife is 8 : 5 and 6 years hence the ratio of their ages will be 12 : 8 If the ratio of their ages at the time of their marriage was 9 : 3 Calculation Let the age of Ravi and his wife in present be 8x and 5x Age 6 years from now = 8x + 6 and 5x + 6 But (8x + 6) ÷ (5x + 6) = 12 ÷ 8 64x + 48 = 60x + 72 ⇒ 4x = 72 – 48 ⇒ 4x = 24 ⇒ x = 6 Their current age = 8 × 6 = 48 and 5 × 6 = 30 Let they married x years ago Age at married = 48 – x and 30 – x But (48 - x) ÷ (30 - x) = 9 ÷ 3 ⇒ 270 – 9x = 144 – 3x ⇒ 6x = 126 ⇒ x = 21 ∴ They married 21 years ago

The ratio of the present age of Ravi and his wife is 8 : 5 and 6 years hence the ratio of their ages will be 12 : 8 If the ratio of their ages at the time of their marriage was 9 : 3, how many years ago were they married?1. 102. 243. 164. 215. None of the above/More than one of the above

Answer» Correct Answer - Option 4 : 21

Given:

The ratio of the present age of Ravi and his wife is 8 : 5 and 6 years hence the ratio of their ages will be 12 : 8 If the ratio of their ages at the time of their marriage was 9 : 3

Calculation

Let the age of Ravi and his wife in present be 8x and 5x

Age 6 years from now = 8x + 6 and 5x + 6

But (8x + 6) ÷ (5x + 6) = 12 ÷ 8

64x + 48 = 60x + 72

⇒ 4x = 72 – 48

⇒ 4x = 24

⇒ x = 6

Their current age = 8 × 6 = 48 and 5 × 6 = 30

Let they married x years ago

Age at married = 48 – x and 30 – x

But (48 - x) ÷ (30 - x) = 9 ÷ 3

⇒ 270 – 9x = 144 – 3x

⇒ 6x = 126

⇒ x = 21

∴ They married 21 years ago

Discussion

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