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andrey2020 [161]
3 years ago
12

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]3 years ago
4 0

The two number are 39 and 13

<em><u>Solution:</u></em>

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

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

<em><u>Given that, sum of two numbers is 52</u></em>

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

<em><u>One number is 3 times as large as the other number</u></em>

Larger number = 3 times smaller number

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

<em><u>Let us solve eqn 1and eqn 2</u></em>

<em><u>Substitute eqn 2 in eqn 1</u></em>

3b + b = 52

4b = 52

b = 13

<em><u>Substitute b = 13 in eqn 2</u></em>

a = 3(13)

a = 39

Thus the two number are 39 and 13

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