Question

The sum of two numbers is 92 and their ratio is 9:14. What are the numbers?

Answer 1

Hey Friend ☺

Let the common multiple be x

So the numbers are 9x & 14x

Sum is 92 so we hey equation ,

9x + 14x = 92

23x = 92

x = 4

So the numbers are 4 × 9 = 36 & 14 × 4 = 56

Hope it helps you ..!!

✌

Answer 2

Hii friend,

Let the numbers is X and Y.

According to question,

X+Y = 92...........(1)

And,

X/Y = 9/14

14X = 9Y

14X-9Y = 0........(2)

From equation (1) we get,

X+Y = 92

X = 92-Y........(3)

Putting the value of X in equation (2)

X/Y = 9/14

14X - 9Y = 0

14×(92-Y) - 9Y = 0

1288 - 14Y -9Y = 0

-23Y = -1288

Y = 1288/23

Y = 56

Putting the value of Y in equation (3)

X = 92-Y

X = 92-56

X = 36

Hence,

First Number is 36 and second is 56

HOPE IT WILL HELP YOU..... :-)