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1 year ago

The sum of two numbers is 39.Three times the smaller number exceeds the larger number by 81. Find the numbers

Mathematics

1 answer:

Mice21 [21]1 year ago

7 0

Let smaller no be x and bigger be y

x+y=39--(1)
3x=y+81
y=3x-81
y=3(x-27)--(2)

Put it in eq(1)

x+3(x-27)=39
x+3x-81=39
4x=81+39
4x=120
x=30

Now

x+y=39
y=39-30
y=9

The numbers are 9 and 30

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Asked on December 20, 2019 by

Ziya Vïvəķ

A cylindrical container with diameter of base 56cm contains sufficient water to submerge a rectangular solid of iron with dimensions (32×22cm×14cm). Find the rise in the level of water when the solid is completely submerged.

MEDIUM

Study later

ANSWER

Given,

Diameter of the base of the cylindrical container d=56 cm

Hence, radius of the base of the cylindrical container r=

=28 cm

Dimensions of rectangular solid is (32 cm×22 cm×14 cm)

We know that when a body is completely submerged in a container containing water,

the rise in the volume of water in the container is equal to the volume of the body.

Let, the water rises to a height h.

Hence,

Volume of water rises in cylindrical container =Volume of the rectangular solid

πr

h=32×22×14 cm

×(28)

×h=9856 cm

22×784

9856×7

h=4 cm

4 0

2 years ago

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