Question

The h c f of three numbers is 17.if they are in the ratio 40:50:69,then the numbers are

Answer 1

Numbers are 680, 850 and 1173.

Step-by-step explanation:

We are given the HCF of three numbers as 17.

They are in the ratio 40:50:69.

Let's assume the number be 40x, 50x, 69x.

Now we try to find out the HCf of these three numbers.

So, we write as,

• $40x = 2 \times 5 \times 2 \times 2\times x$

• $50x = 5 \times 5 \times 2 \times x$

• $69x = 23 \times 3 \times x$

Thus, we get the highest common factor (HCF) as x.

• But, highest common factor (HCF) is given as 17.

So, we write as:

• x = 17

Thus, the numbers are $(40 \times 17)$, $(50 \times 17)$and $(69 \times 17)$ i.e,  680, 850 and 1173.