Question

If 4 times of a number added to 5 times of another number we get 73.

If 6 times of first number and 3 times of the second number are added we get

69. Then find the numbers.

Let be the first number be the second number​

Answer 1

Answer:

Let 1st number be x.

Then, 2nd number = 3x.

According to que,

3x+15=2(x+15)

3x+15=2x+30

x=15

Therefore, the two numbers are 15 and 45.

Step-by-step explanation:

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Answer 2

we have :-

• 4 times of a number added to 5 times of another number we get 73.
• If 6 times of first number and 3 times of the second number are added we get 69.

to find :-

• the numbers asked in the question .

Solution :-

• let first number be x .
• let second number be y .

A.T.Q

$\\ \\ \tt \: 4x + 5y = 73 \: ..........eq.(1) \\ \\ \tt \:6x + 3y = 69 \: ...........eq.(2)$

from eq.(1) :-

$\\ \\ \tt \:4x + 5y = 73 \\ \\ \tt \:4x = 73 - 5y \\ \\ \tt \:x = \frac{73 - 5y}{4} ...........eq.(3)$

put the value of x in eq.(2) we get :-

$\\ \\ \tt \: \dfrac{73 - 5y}{4} + 3y = 69 \\ \\ \tt \: \frac{73 - 5y + 12}{4} = 69 \\ \\ \tt \:43 + 7y = 276 \\ \\ \tt \:7y = 276 - 73 \\ \\ \tt \:y = \dfrac{203}{7} = 29 \\ \\ \fbox{ \bf \: y = 29}$

put the value of y in eq.(3) we get :-

$\\ \\ \tt \: x = \frac{73 - 5y}{4} \\ \\ \tt \: x = \frac{73 - 5 \times29 }{4} \\ \\ \tt \: x = \frac{ - 72}{4} = - 18 \\ \\ \fbox{ \bf \: x = - 18}$

therefore, the numbers are :- 29 and -18 .