Question

sum of the half 1/6 of a number and 3/8 the same number is 55 . find the number​

Answer 1

Step-by-step explanation:

●Let the number be x

$half \: \frac{1}{6} = \frac{ \frac{1}{6} }{2} \\ \\ = > \frac{2}{6} \\ \\ = > \frac{1}{3}$

● therefore according to the question

$\frac{1}{3} x + \frac{3}{8} x = 55 \\ \\ = > \frac{8x + 9x}{24} = 55 \\ \\ = > \frac{17x}{24} = 55 \\ \\ = > 17x = 55 \times 24 \\ = > 17x = 1320 \\ \\ = > x = \frac{1320}{17}$

● Verification-

$\frac{1}{3} \times \frac{1320}{17} + \frac{3}{8} \times \frac{1320}{17} \\ \\ = > \frac{440}{17} + \frac{495}{17} \\ \\ = > \frac{935}{17} \\ \\ = > 55$

Hence,verified