Question

Divide 690 into 3 parts in the ratio 2:3:5.​

Answer 1

Let the number be 2x,3x and 5x

A/C:-

☞2x+3x+5x=690

=>10x=690

=>x=690/10

=>x=69

Now, 2x=2×69=138

3x=207

5x=345

Answer 2

Step-by-step explanation:

To divide a number into three parts in a given ratio

Let the number be p. It is to be divided into three parts in the ratio a : b : c.

Let the parts be x, y and z. Then, x + y + z = p .................... (i)

and        x = ak, y =bk, z = ck.................... (ii)

Substituting in (i), ak + bk + ck = p

  ⟹ k(a + b + c) = p

Therefore, k = pa+b+cpa+b+c

Therefore, x = ak = apa+b+capa+b+c, y = bk = bpa+b+cbpa+b+c, z = ck = cpa+b+ccpa+b+c.