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two numbers are in the ratio of 4;7 .IF THE DIfFFereNce between the numbers is 48,find the sum of the two numbers

Sagot :

It's ratio and proportion.

We must find the two number first.

So you said their difference is 48. So you must subtract the two numbers

7 - 4 = 3 (it will be the denominator of the two numbers

Finding x(the first number)

4/3 * 48 = x

Multiply 48 to 4

192/3 = x

Divide

x = 64

Finding y(the second number)

7/3 * 48 = y

Multiply 48 to 7

336/3 = y

Divide

y = 112

Now let's check if their Difference are 48

y - x = 48

112 - 64 = 48 ■ Correct

Now let's add both to know their Sum

112 + 64 = 176

Therefore the sum of the two numbers is 176

I hope it helps.
the sum of the ratio is 176