Question

Divide 642 into three parts such that A's part is 3/5 os B's part and the ratio between B AND C is 9:7

Answer 1

Answer:

A = 162

B = 270

C = 210

Step-by-step explanation:

Let B's part be 9x

and C's part be 7x

Then, A's part = 3/5 of B's part

$= \frac{3}{5} \times 9x \\ = \frac{27x}{5}$

$\frac{27x}{5} + 9x + 7x = 642 \\ \frac{27x + 45x + 35x}{5} = 642 \\ \frac{107x}{5} = 642 \\ x = \frac{642 \times 5}{107} \\ x = 30$

A's part=

$\frac{27x}{5} = \frac{27 \times 30}{5} = 162$

B's part=

$9x = 9 \times 30 = 270$

C 's part =

$7x = 7 \times 30 = 210$