Question

The H.C.F of three numbers is 24. If they are in the ratio 35:55:77, then the numbers are:​

Answer 1

Answer:

840 , 1320 , 1848

Step-by-step explanation:

H.C.F of three no: is 24

The no: are in the ratio 35 : 55 : 77

Let the actual ratio be 35x : 55x : 77x

H.C.F of 3 no: = 24

∴ x = 24

35x = 35 × 24 = 840

55x = 55 × 24 = 1,320

77x = 77 × 24 = 1,848

∴ Three no: are 840 , 1320 , 1848

Answer 2

Given data,

The HCF of the three numbers is $24$

The numbers are in the ratio $35:55:77$

We have to find that values.

Let the numbers be $35x,55x,77x$

HCF means it is the multiple of that numbers

So,

$x=24$

Substitute $x=24$ in the numbers $35x,55x,77x$.

We get,

$35x=35(24)=840$

$55x=55(24)=1320$

$77x=77(24)=1848$

Therefore, the numbers are $840,1320,1848$