Question

Solve these problems.
Find two numbers if their sum is 91 and their ratio is 6:7.

Answer 1

42 and 49

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Let's assign x and y to the two numbers you are trying to find.

The problem gives us two pieces of information:

1) the sum of the two numbers:

• x + y = 91 and

2) their ratio:

• x/y = 6/7

Rearrange the second equation:

• 7x = 6y
• y = 7x/6

Substituting y into our first equation gives us:

• x + (7x/6) = 91
• 13x/6 = 91
• x = 6*91/13
• x = 42

Substituting x = 42 in first equation:

• y = 91 - x
• y = 91 - 42
• y = 49

Thus, the two required numbers are 42 and 49.