Solve the following problems using two variables
(i) The sum of two numbers is 97. If the greater number is divided
by the smaller, the quotient is 7 and the remainder is 1. Find
the numbers.
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Solve the following problems using two variables
(i) The sum of two numbers is 97. If the greater number is divided
by the smaller, the quotient is 7 and the remainder is 1. Find
the numbers.
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Solution:-
Let the two numbers be x and y, where x is the larger no.
x+y=97 ...(1)
As per the given condition,
x=7y+1 ...(2)
Substitute eq(2) in eq(1) we get
7y+1+y=97
8y=96
y=12
∴x=7(12)+1=85
EXPLAINED:-
Answer:
85 and 12
Step-by-step explanation:
Let the two numbers be x and y, where x is the larger no.
x+y=97 ...(1)
As per the given condition,
x=7y+1 ...(2)
Substitute eq(2) in eq(1) we get
7y+1+y=97
8y=96
y=12
∴x=7(12)+1=85