Question

Difference between two whole numbers is 77. The ratio of the two numbers is 11:4. Find the numbers.
✓
o 11,7
o 121, 44
121, 22
35, 121​

Answer 1

Answer:

121,44

Step-by-step explanation:

because,

difference between 121 and 44 is 77,and the ratio is 11:4 so it may be 121,44

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Answer 2

Answer:

b) 121,44

Step-by-step explanation:

Let assume x and y be the required numbers then According to the question we have

x-y =77 or x= 77+y.....(1)

Also x/y =11/4

Now substituting (1) in above equation we have

$\frac{77 + y}{y} = \frac{11}{4} \\ \\ \frac{77}{y} + 1 = \frac{11}{4} \\ \\ \frac{77}{y} = \frac{11}{4} - 1 \\ \\ \frac{77}{y} = \frac{11 - 4}{4} \\ \\ \frac{77}{y} = \frac{7}{4} \\ \\ y = \frac{77 \times 4}{7} = 44 \\ \\ therefore \: from \: (1) \\ \\ x = 77 + y \\ x = 77 + 44 \\ x = 121$

Therefore the two numbers are 121 and 44.

By the way for 1mark question you can just check the difference of the given options and the even the ratio.

I hope you are clear if not just comment me and mark me as the brainliest.