Question

Divide 32 into two parts such that the sum of it's reciprocal is 1/6

Answer 1

Answer:

$a+b=25$

$\frac{1}{a} = 6\frac{1}{b}$

$b= 6a$

$a+6a= 25 \implies a= \frac{25}{7}$

$b = \frac{150}{7}= = 21\frac{3}{7}$

• Hope it helps •

Answer 2

Answer:

a+b=25

\frac{1}{a} = 6\frac{1}{b}

a

1

=6

b

1

b= 6ab=6a

a+6a= 25 \implies a= \frac{25}{7}a+6a=25⟹a=

7

25

b = \frac{150}{7}= = 21\frac{3}{7}b=

7

150

==21

7

3

• Hope it helps •