The sum of two numbers is 88. If the greater number is divided by the smaller, the quotient is 5 and the remainder is 10. Find the numbers.
Answers
Smaller integer = 13, Greater integer = 75
Explanation:
Let x & y be the greater & smaller integers respectively:
x + y = 88 = > eq-1
x/y=5+10/y = >eq-2
Solve for y in terms of x in eq-1:
y = 88 − x
Substitute for y in eq-2:
x/88-x =5+10/88-x
x = 5 ( 88 − x ) + 10
x + 5x = 440 + 10
6x = 450
x=450/6
x=75
y = 88-75 = 13
Answer:
The two numbers are 13 and 75
Step-by-step explanation:
Given data:
The sum of the two number = 88
Let x and y are be the two number
take x as small number and y as greatest number
from given data x + y = 88 _(1)
when greatest number y is divided by x quotient is 5 and reminder is 10
therefore y = 5x +10
y - 5x = 10 _(2)
now subtract (2) from (1)
⇒ x + y - (y - 5x) = 88 - 10
⇒ x + y - y + 5x = 78
6x = 78
x = 13
substitute x = 13 in (1)
x + y = 88
13 + y = 88
y = 75