I thought of a number ,doubled it and and rhen deducted 17.The product of this difference,when multiplied by 6,became 126.What was the number I thought of
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Solution-
Let the number be x.
The number, after doubling and deducting 17 = 2x-17
According to condition,
6×(2x-17) = 126
⇒ 12x-102 = 126
⇒ 12x = 126+102
⇒ 12x = 228
⇒ x = 228/12
⇒ x = 19
Hence, the number is 19.
Verify-
6×(2x-17) = 126
⇒ 6×{(2×19)-17} = 126
⇒ 6×(38-17) = 126
⇒ 6×21 = 126
⇒ 126 = 126
Hence, L.H.S = R.H.S.
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