Question

The ratio between two numbers is 9:5 and their sum is 224. The largest the numbers is:-

Answer 1

Hello friend....☺

Here is your solution....⭐⭐⭐

♦ Let the ratios be "x"

=> Two numbers are 9x and 5x.

✴ Sum of the numbers = 224.

A/q _______

=> 9x + 5x = 224
=> 14x = 224
=> x = 224/14
=> x = 16 -------------(1)

Now, largest number = 9x
= (9×16)
= 144.

Hence, largest number is 144.

Thanks...☺

Hope this helps you...

Answer 2

let's the number is X and Y

Now
According to question

x/y = 9/5_____________1


and

x+y = 224____________2

by equation 1 and 2...

X + 5X/9 = 224

9X + 5X = 2016

14X = 2016

X = 144

then Y = 5x/9 = 5×144/9 = 80

so. "x = 144" and "y = 80"

then the largest no. is = "144"

I hope it will help you..