Question

The sum of two numbers is 22. Five times of one number is equal to 6 times the other. The bigger of the two numbers is

Answer 1

let one number be x
so the other be (22-x)
now
$5x = 6(22 - x) \\ or. \: 5x = 132 - 6x \\ or. \: 5x + 6x = 132 \\ or. \: 11x = 132 \\ or. \: x = \frac{132}{11} = 12$
so one number be =12 and the other be (22-12)= 10

Answer 2

The bigger number is 12

Step-by-step explanation:

Let the two numbers be x and y

The sum of two numbers is 22

So, x+y=22 --- A

Five times of one number is equal to 6 times the other.

$5x=6y\\x=\frac{6}{5}y$

Substitute the values in A

$\frac{6}{5}y+y=22\\\frac{11}{5}y=22\\y=22 \times \frac{5}{11}\\y=10$

x+y=22

x+10=22

x=12

Hence The bigger number is 12

#Learn more:

The sum of two numbers is 18.if four times of one is five times the other number. Then the bigger of two numbers is

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