Question

three times a number and 5 times another number added together makes 169.when five times the first number and three times the second added together makes 159.find the nimber

Answer 1

Step-by-step explanation:

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Answer 2

Given info : three times a number and 5 times another number added together makes 169. when five times the first number and three times the second added together makes 159.

To find : the numbers are ...

solution : let x and y are numbers.

then we get equations from above data,

3x + 5y = 169 ...(1)

5x + 3y = 159 ...(2)

adding equations (1) and (2) we get,

8x + 8y = 328 ⇒x + y = 41 ...(3)

from equations (1) and (3) we get,

2y = 169 - 123 = 46 ⇒y = 23

and x = (169 - 115)/3 = 18

Therefore the numbers are 23 and 18.