Question

10. Two numbers are in the ratio 8:7. Their sum is 60. Find the
two numbers.
72​

Answer 1

Answer:

the answer is so 45

Step-by-step explanation:

there is no explanation

Answer 2

Question:-

Two numbers are in the ratio 8:7. Their sum is 60.

Find the two numbers.

Required Answer:-

Given:-

$\\ \sf{ \rightarrow{Ratio \: of \: the \: numbers = 8 \ratio7}}$

$\sf{ \rightarrow{Sum \: of \: the \: numbers = 60}}$

To Find:-

$\\ \sf{ \rightarrow{The \: numbers}}$

♡Solution:-

Let the common product of the numbers be x

Therefore,

$\\ \sf{First \: number = 8x}$

$\sf{Second \: number = 7x}$

According to the question:-

$\\ \sf{ \bold{8x + 7y = 60}}$

$\\ \sf{ \implies{15x = 60}}$

$\\ \sf{ \implies{x = \frac{60}{15} }}$

$\\ \sf{ \therefore{x = \pink{4}}}$

Now,

$\\ \sf{ \bold{First \: number} = 8 \times 4 = \red{32}}$

$\sf{ \bold{Second \: number} = 7 \times 4 = \red{28}}$

$\\ \underline{ \boxed{ \sf{Hence \: the \: numbers \: are \: \red{32} \: and \: \red{28}}}}$

❖ Verification:-

We are given that:-

Sum of the numbers is 60

Adding the numbers we found:-

$\sf{ \bold{32 + 28} = \green{60}}$

Hence,verified!!