Question

If two third, one half and one seventh of a number is added to itself the result is $37$. Find the number.

• A. $14\frac{2}{97}$
• B. $16\frac{2}{97}$
• C. $18\frac{2}{97}$
• D. None

Answer 1

The correct option is B $16\frac{2}{97}$

Let,

The number be $x$

Two-third of a number$=\frac{2}{3}x$

One-half of a number $=\frac{1}{2}x$

One-seventh of a number $=\frac{1}{7}x$

A.T.Q,

$\frac{2}{3}x+\frac{1}{2}x+\frac{1}{7}x+x=37$

$⟹\frac{28x+21x+6x+42x}{42}=37$

$⟹\frac{97}{42}x=37$

$⟹x=\frac{37\times 42}{97}$

$⟹x=\frac{1554}{97}=16\frac{2}{97}$

Answer : B