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Sum
Separate 178 into two parts so that the first part is 8 less than twice the second part.
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Solution
Let first part = x
Second part = 178 – x
According to the problem :
First Part = 8 less than twice the second part
x = 2(178 – x) – 8
⇒ x = 356 – 2x – 8
⇒ x+2x = 356 – 8
⇒ 3x = 348
⇒ x = 116
First Part = 116
⇒ Second Part = 178 – x = 178 – 116 = 62
First Part = 116
⇒ Second Part = 62
Alternative Method :
Let Second part = x
First part = 2x – 8
According to the problem :
x + 2x – 8 = 178
⇒ x + 2x = 178 + 8
⇒ 3x = 186
⇒ x = 62
First part = 2x – 8 = 2 x 62 – 8 = 124 – 8 = 116
First part = 116
Second part = 62
Concept: Solving Linear Inequations
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