Question

Find the ratio of two numbers. Whose is 60 and difference is 6.​

Answer 1

Answer:

i think answer is 60:6 or 54:6

Answer 2

Given :

• Sum and difference of two numbers is 60 and 6.

To Find :

• The ratio of the two numbers.

Solution :

Let the two numbers be 'a' and 'b' .

We are given that sum and difference of two numbers (i.e, a and b) as 60 and 6.

$\implies\sf \: a + b = 60 \: ...........(1) \\ \\ \qquad \: \: \: \: \sf a - b = 6 \: .............(2)$

$\sf a + b= 60 \\ \sf a - b= 6 \\ \sf \dfrac{\: \: \: \: \: \: }{ \: \: \: \: \: 2a = 54 \: \: \: \: \: } \\ \overline{ \qquad \qquad \qquad}$

$\implies \sf \: a = \frac{54}{2} \\ \\ \\ \implies \underline {\boxed {\bf{a = 27}}}$

Substituting the value of a in equation(1) we get ;

$\implies \sf \: 27 + b = 60 \\ \\ \\ \implies \sf \: b = 60 - 27 \\ \\ \\ \implies \underline{\boxed{\bf{b = 33}}}$

Now , Ratio between a and b is ,

$\implies \sf \: a : b = 27 : 33 \\ \\ \\ \implies \underline {\boxed{\pink{\bf{a : b = 9 : 11}}}}$

Hence , The ratio between the two numbers is 9 : 11