SOLUTION: the sum of two numbers is 90. three times the smaller is 10 more than the larger. find the larger number.

Question 631993: the sum of two numbers is 90. three times the smaller is 10 more than the larger. find the larger number.

Answer by Maths68(1474) (Show Source): You can put this solution on YOUR website!
Let
x be the smaller and y be the larger number
The sum of two numbers is 90
x+y=90
x=90-y...........(1)
Three times the smaller is 10 more than the larger.
3x=y+10..........(2)
Substitute the value of x from (1) to (2)
3(90-y)=y+10..........(2)
270-3y=y+10
-3y-y=10-270
-4y=-260
-4y/-4=-260/-4
y=65
Put the value of y in (1)
x=90-y...........(1)
x=90-65
x=25
Smaller number x = 25
Larger number y = 65

RELATED QUESTIONS
The larger of two numbers is 8 more than twice the smaller. The sum of the numbers is 10... (answered by mananth)

The larger of two numbers is 8 more than twice the smaller. The sum of the numbers is 10... (answered by josgarithmetic)

The larger of two numbers is three more than five times the smaller. If the sum of the... (answered by RAY100)

The sum of two numbers is 2. If the larger number is 14 more than three times the... (answered by pmatei)

The larger of two numbers is eight more than three times the smaller number. The sum of... (answered by Boreal,greenestamps)

The sum of two numbers is 90. The larger number is 14 more than 3 times the smaller... (answered by Hawksfan)

"The sum of two numbers is 90. The larger number is 14 more than 3 times the smaller... (answered by TimothyLamb)

Number Problem: The sum of two numbers is 70. The larger number is two more than three... (answered by rfer)

The larger of two numbers is one more than twice the smaller. The sum of the numbers is... (answered by mananth)