The sum of two numbers is 52. One number is 3 times as large as the other number. Which is the larger number

Mathematics

1 answer:

creativ13 [48]2 years ago

4 0

The two number are 39 and 13

Solution:

Let the two numbers be "a" and "b"

Let the larger number be "a" and the smaller number be "b"

Given that, sum of two numbers is 52

a + b = 52 ---------- eqn 1

One number is 3 times as large as the other number

Larger number = 3 times smaller number

a = 3b -------- eqn 2

Let us solve eqn 1and eqn 2

Substitute eqn 2 in eqn 1

3b + b = 52

4b = 52

b = 13

Substitute b = 13 in eqn 2

a = 3(13)

a = 39

Thus the two number are 39 and 13

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6 0

2 years ago

Please explain how to get the answer

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Q must be positive in F.

F. r squared will be positive, because any number times itself is positive, and to get a positive number for the answer, the two numbers you multiply need to be the same sign. If r squared is positive, q must be too.

G. q does not have to be positive. If r is a negative number, then q can be negative. Say q=-2 and r=-3. -2-(-3) changes to -2+3, which equals 1.

H. Again, q can be negative if r is negative (two negative numbers multiplied together equals a positive answer.

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