Jake things of a number. He adds 5 then multiplies the result by 2. The answer is the same as 5 times the number take away 14. What number did Jake think of?
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Answer:
Let's assume that the number Jake thought of is 'x'
2 (x + 5) = 5x - 14
2x + 10 = 5x - 14
2x - 5x = - 14 - 10
- 3x = - 24
x = - 24 ÷ (- 3)
x = 8
Verification:
LHS = 2 (x + 5)
= 2 (8 + 5)
= 2 × 13
= 26
RHS = 5x - 14
= 5 × 8 - 14
= 40 - 14
= 26
LHS = RHS hence, verified.
ANS - The number Jake thought of was 8
Hope it helps
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