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Mathematics problem solving:

The sum of two numbers is 90. The larger number is 14 more than 3 times the smaller number. Find the numbers

 

 

Posted in Math, asked by Gilda, 6 years ago. 1910 hits.

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assume two numbers x and y

the sum of x and y is,x+y=90-------(1)

and also the x is 14 more than three times of y

   x=3y+14

let substitute the value of x in equation (1)

 3y+14+y=90

4y=90-14

4y=76

=>y=19

x=3(19)+14

x=57+14

x=71

 

Venkat Nagendra Thati
Venkat Nagendra Thati - 6 years ago
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-3

Let the numbers be x and y, where x is the larger number.
So according to the given data:
x+ y = 90 
and
x = 3y + 14 
use this value of x in first equation, you will get
3y + 14 + y = 90 
4y = 76
y = 19
Now use the value of y again in the first equation, you will get
x + 19 = 90 
x = 71

Hassan Shahbaz
Hassan Shahbaz - 6 years ago
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