Question

The ratio of two number is 7:9 and thir sum is 256 find the number​

Answer 1

Step-by-step explanation:

Let one no. be 7x

And the other be 9x

Their sum is 256 (given)

Hence

7x+9x=256

16x=256

x=256/16

x=16

Therefore 7x=7×16=112

And, 9x=9×16=144

Hence the numbers are 112,144.

Answer 2

Answer:

Hence the number are 112 and 144.

Step-by-step explanation:

As per the data given in the above question,

The given ratio is 7:9

Sum of their number is 256.

we have to find the number.

Let the ratio be 7x and 9x,

The sum of sum is 256 so we can write,

$7x + 9x = 256$

adding the common term we get,

$16x = 256$

Shifting 16 from LHS to RHS as it is in numerator it will be shift in denominator,

$x = \frac{256}{16}$

Dividing both numerator and denominator by 2 we get,

$x = \frac{128}{8} \\ = \frac{64}{4} \\ = \frac{32}{2} \\ x = 16$

Now the ratio is 7x ,

$7 \times 16 = 112$

The ratio 9x is,

$9 \times 16 = 144$

Hence the number are 112 and 144.