Question

What does a duck do when it flies upside down? The answer to this riddle is hidden in the equation given below:

If i + 69 = 70, then i = ? If 8u = 6u + 8, then u = ?

If 4a = –5a + 45, then a = ? if 4q + 5 = 17, then q = ?

If –5t – 60 = – 70, then t = ? If `1/4`s + 98 = 100, then s = ?

If `5/3`p + 9 = 24, then p = ______?

If 3c = c + 12, then c = ______?

If 3 (k + 1) = 24, then k = ______?

For riddle answer: substitute the number for the letter it equals

`()/1 ()/2 / ()/3 ()/4 ()/5 ()/6 ()/7 ()/8/()/4 ()/9`

Answer 1

We have, i + 69 = 70

⇒ i = 70 – 69   ...[Transposing 69 to RHS]

⇒ i = 1

And 8u = 6u + 8

⇒ 8u – 6u = 8  ...[Transposing 6u to RHS]

⇒ 2u = 8

⇒ `(2u)/2 = 8/2`  ...[Dividing both sides by 2]

⇒ u = 4

We have, 4a = –5a + 45

⇒ 4a + 5a = 45  ...[Transposing (–5a) to LHS]

⇒ 9a = 45

⇒ `(9a)/9 = 45/9` ...[Dividing both sides by 9]

⇒ a = 5

And 4q + 5 = 17

⇒ 4q = 17 – 5  ...[Transposing 5 to RHS]

⇒ 4q = 12

⇒ `(4q)/4 = 12/4` ...[Dividing both sides by 4]

⇒ q = 3

We have, –5t – 60 = –70

⇒ –5t = –70 + 60  ...[Transposing (–60) to RHS]

⇒ –5t = –10

⇒ `(-5t)/(-5) = (-10)/(-5)` ...[Dividing both sides by (–5)]

⇒ t = 2

And `1/4`s + 98 = 100

⇒ `1/4`s = 100 – 98  ...[Transposing 98 to RHS]

⇒ `1/4`s = 2

⇒ `4/4`s = 4 × 2 ...[Multiplying both sides by 4]

⇒ s = 8

We have, `5/3`p + 9 = 24

⇒ `5/3`p = 24 – 9  ...[Transposing 9 to RHS]

⇒ `5/3`p = 15

⇒ `3/5 xx 5/3`p = `3/5 xx 15`  ...[Multiplying both sides by `3/5`]

⇒ p = 9

We have, 3c = c + 12

⇒ 3c – c = 12   ...[Transposing c to LHS]

⇒ 2c = 12

⇒ `(2c)/2 = 12/2` ...[Dividing both sides by 2]

⇒ c = 6

We have, 3(k + 1) = 24

⇒ `(3(k + 1))/3 = 24/3`  ...[Dividing both sides by 3]

⇒ k + 1 = 8

⇒ k = 8 – 1  ...[Transposing 1 to RHS]

⇒ k = 7

By substituting the number for the letter it equals, we get

`bb(i)/1 bb(t)/2 / bb(q)/3 bb(u)/4 bb(a)/5 bb(c)/6 bb(k)/7 bb(s)/8/bb(u)/4 bb(p)/9`