The difference of two numbers is 62, and the sum of twice the larger and three times the smaller is 304. Find the two numbers.
Mathematics · College · Mon Jan 18 2021
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given that, difference of two numbers is 62 and the sum of twice the larger and three times the smaller is 304 .
let the larger number be x and smaller number is y so now:-
x−y =62 (difference of numbers)
x =62+y ……(1)
and
2x+3y = 304 ……(2) ( sum of twice the larger and three times the smaller number)
Find the value of x and y.
Substitute the value of x from equation (1) in equation (2).
=> 2(62+y)+3y=304
=> 124+2y+3y=304
=> 5y=180
=> y=36
Substitute the value of y in equation (1)
x=36+62
=98
Therefore, the two numbers are 36 and 98 respectively.