Question

Answer to even one of the questions will be very helpful ​

Answer 1

Step-by-step explanation:

7) Present age of Raj and Ram are in ratio 1 : 3.

Let Raj's Present age be 1x.

Let Ram's Present age be 3x.

After 5 years -

Raj's age = x+5

Ram's age = 3x+5

Ram's age will be 2 years more than twice of Raj's age.

3x+5 = 2+2(x+5)

3x+5 = 2+2x+10

3x+5 = 2x+12

3x-2x=12-5

x=7

Hence Raj's Present age is 1x = 1×7 = 7 years

Ram's Present age = 3x = 3×7 = 21 years

8) Let each equal side of isosceles triangle be x.

Third side =2/3 x

$x+x+\frac{2}{3} x=80 cm\\\frac{3x}{3} +\frac{3x}{3} +\frac{2x}{3} =80cm\\\frac{3x+3x+2x}{3} =80cm\\\frac{8x}{3} =80cm\\8x=80*3\\x=240/8=30$

∴ Each of the two equal sides are 30 cm.

And the third unequal side is 20 cm.

9) Let the digits of the number be a and b such that the number is (10a+b).

According to the question,

a−b=3 or b−a=3    - (1)

10a+b+10b+a=143

a+b=13        - (2)

Solving both the equations, we have

a=8 and b=5 or a=5 and b=8

Therefore, the required number is 85 or 58.

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